Solving Rational Inequalities

I introduce solving rational inequalities. After showing you the steps you should follow for these types of problems I work through two examples. In the second example I write less than 0 in the second through forth line of work. That should read less than or equal to.
...also negative 7 plus 5 is negative 2 not negative 3, the answer is correct but the annotation corrections have been removed by KZread:(
Check out www.ProfRobBob.com, there you will find my lessons organized by class/subject and then by topics within each class. Find free review test, useful notes and more at www.mathplane.com If you'd like to make a donation to support my efforts look for the "Tip the Teacher" button on my channel's homepage / profrobbob

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  • @the2010gabe
    @the2010gabe5 жыл бұрын

    Your math videos are the best online!! There are two reasons. One is that you explain it very well and two is that your virtuous passion for math is unsurpassed!!

  • @profrobbob

    @profrobbob

    5 жыл бұрын

    THANK YOU for that amazing review and for liking, subbing and taking the time to share your experience with us! Please continue to share this channel with everyone, especially your teachers so all current and future students know where to find us...BAM!!!

  • @cashboston166

    @cashboston166

    3 жыл бұрын

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    @trevorares7668

    3 жыл бұрын

    @Cash Boston Definitely, been watching on Flixzone for since november myself :D

  • @roserpv
    @roserpv8 жыл бұрын

    The best math teacher on line.. unlike my so call " Prof " he didn't bother to explain and when ask his favorite reply " you all should know all these " !!Guess his passion for teaching is gone just like the hair on his head.. lol... A million thank you and making it fun to learn math... I spreading the word...

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    +Rose Henriksen THANK YOU for watching, "thanking" the teacher and sharing! Please remind everyone to take the time to like, subscribe, support the ads, share thru social medias and with their friends, classmates and teachers too as you are sharing this channel because thats how most of these free educational channels grow and remain free:D

  • @emmanuelchipipa7855
    @emmanuelchipipa78555 жыл бұрын

    5years ago used it for my grade12 exams , 2019 I'm back here to use it for my college degree,complete walk over you amazing profrob ...BAM!!!!

  • @profrobbob

    @profrobbob

    5 жыл бұрын

    Welcome back...THANKS for the continued sub and support Emmauel!!!

  • @profrobbob
    @profrobbob12 жыл бұрын

    Thank you very very much for watching...and spreading the word;) I am glad you are finding my videos so helpful.

  • @audreygillespie9570
    @audreygillespie95704 жыл бұрын

    I love how you break down steps but negative 7 plus 5 is negative 2 not negative 3. The answer is still right and the video has awesome energy!!!!

  • @profrobbob

    @profrobbob

    4 жыл бұрын

    Thanks for paying such close attention ! Thanks for choosing this channel to study with...please sub and share too! KZread removed all the annotation corrections:( ...I've added corrections in the description but I'm not sure people see that either.

  • @profrobbob
    @profrobbob10 жыл бұрын

    You're welcome! Thanks for seeking out extra help and choosing my channel to watch and subscribe to! Please keep sharing because that's how I groW! Sounds like your fellow classmates might benefit by hearing about my channel as well:)

  • @profrobbob
    @profrobbob11 жыл бұрын

    I'm glad to hear that my video completed the learning your teacher wasn't able to:) Now that you found my channel I hope I will be your go-to KZread teacher for future learning:D

  • @profrobbob
    @profrobbob12 жыл бұрын

    Thank you for watching:) ---- and spreading the word

  • @Aqman16
    @Aqman169 жыл бұрын

    if all math teachers taught with this enthusiasm, i wouldn't be watching your videos THANSKSKSKSKSKS

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    LOL...You're welcome aaron qureshi ! You have quite a point there too....thanks for choosing my channel to watch and learn from and I hope you will return to like, subscribe and share it with everyone...BAM!!!

  • @mickiann100
    @mickiann10011 жыл бұрын

    Thank you so much for all of your videos! I'm a non-math major stuck in a college pre-calc class and your videos have really been a blessing!!!

  • @MsAnnasJ
    @MsAnnasJ11 жыл бұрын

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  • @akat88
    @akat8810 жыл бұрын

    Great energy. Good pace. Easy to follow. Thank you!

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    You're welcome and thanks for watching Amanda Brown ! Please subscribe and share my channel with others to help me keep growing and helping more students everywhere:)

  • @georgesadler7830
    @georgesadler78302 жыл бұрын

    Professor RobBob, thank you for another solid analysis of Solving Rational Inequalities. The two examples show How to solve Rational Inequalities and avoid common mistakes. There is also an error in between the solution of the final example. The sign should be less than or equal to instead of less than.

  • @profrobbob
    @profrobbob11 жыл бұрын

    I hope by the time you are reading this that you have passed that pre-calc final with ease:) Thanks for tuning into my channel to learn from!

  • @kapuluster
    @kapuluster11 жыл бұрын

    Your videos are amazing! I am taking College Algebra online through independent study and so I have no instructor and things can get pretty confusing quite fast. Your videos made everything really clear! Your an awesome instructor!

  • @profrobbob
    @profrobbob11 жыл бұрын

    You're welcome...and THANKS for watching!

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    @DyLaNbOiiiiii7811 жыл бұрын

    I've seen your videos before but damn, this is the the best educational video I've ever seen by far.

  • @profrobbob
    @profrobbob11 жыл бұрын

    THANK YOU...and thanks for watching again! I hope you will spread the word about my channel to the other students at your school and save them the search:)

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  • @oliviaguimond5939
    @oliviaguimond593910 жыл бұрын

    I'm taking grade 12 math, and my math teacher is terrible at teaching. He's a lovely person, he just can't seem to make effective lesson plans. So thank you. So. Much. for making these videos!

  • @profrobbob
    @profrobbob11 жыл бұрын

    Just one video?...but there are soooo many more. Keep watching and share my channel with your friends if you found it helpful...Thanks

  • @profrobbob
    @profrobbob11 жыл бұрын

    I'm glad to hear that my videos are even helping someone get through that "dreaded" math class! I try to "make math fun" while learning at the same time...hope you keep watching, and maybe by the end you might even "like' math a little:)

  • @DeepFriedBoss
    @DeepFriedBoss11 жыл бұрын

    love the out going positive attitude makes it enjoyable and informative :) thank you

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    @profrobbob11 жыл бұрын

    Yup...still here working hard on Calc problems and getting ready to make more videos to share with the WORLD!

  • @katiebierschbach1295
    @katiebierschbach12958 жыл бұрын

    I've never understood math so well. Thank you for these videos!

  • @profrobbob
    @profrobbob11 жыл бұрын

    You're welcome...glad to see you are still watching!

  • @bravone1
    @bravone112 жыл бұрын

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  • @profrobbob
    @profrobbob11 жыл бұрын

    Your welcome...thanks for watching:)

  • @009LinkWork
    @009LinkWork9 жыл бұрын

    "Go do your homework" Hahahahaha I laughed more than I should at that. Great lesson! Thank you very much, you are helping me quite a bit in College Algebra! Already Subscribed :)

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    It's good to laugh...relieves all the tension to get you relaxed and ready to tackle that homework...lol You're welcome and thanks for choosing my channel to learn from and subscribe to 009LinkWork ...and please share my channel with your friends, classmates and teachers as an additional study reference too:D

  • @profrobbob
    @profrobbob12 жыл бұрын

    Thank you for watching:)

  • @Mark_yyz
    @Mark_yyz9 жыл бұрын

    Awesome vid. I'm actually taking advanced functions and we cross check by seeing if the test values are positive or negative but I think this method is easier

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    THANKS for watching and learning something NEW MM :)

  • @rheamahajan
    @rheamahajan10 жыл бұрын

    i always smile when you pop into the video. YOU ARE AWESOME

  • @arnoldruhimbaza7151
    @arnoldruhimbaza71517 жыл бұрын

    i did the rational inequalities test and got 100% and the examiner asked, did you teach this yourself? thank you profbob for your teaching. you are doing an amazing work

  • @profrobbob

    @profrobbob

    7 жыл бұрын

    CONGRATULATIONS!!! Thanks for taking the initiative to find outside help and choosing my channel to study with....don't forget to sub and share whenever you have the opportunity and I hope you told the examiner where to find me so they can share it with all the future students...BAM!!!

  • @mexiluvsw
    @mexiluvsw10 жыл бұрын

    Thanks for these videos! They are really helping me a lot, my math instructor is a former university professor that skips steps and teaches way too fast and I struggle to keep up!

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    You're welcome...thanks for watching and liking and I hope you will share and SUBSCRIBE with your friends and classmates!

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    @profrobbob12 жыл бұрын

    Thank you...I am glad you like my videos:)

  • @profrobbob
    @profrobbob11 жыл бұрын

    Thank you:) I'm glad you sought out extra help, found my channel so helpful and subscribed! I really appreciate the support and adding me to your likes list as well. Good luck with your class and let me know when you pass with that "A" :))

  • @THE6FACEGOD
    @THE6FACEGOD10 жыл бұрын

    You have possibly helped me pass my math test, I dunno yet cuz it's tmr lol but I got a GOOD feeling!

  • @profrobbob
    @profrobbob11 жыл бұрын

    With rational inequalities you can't assume what parts of the number line will be solutions just by the direction of the inequality. You must test the intervals. Setting your problem equal to zero you have (x-9)/(x+2)

  • @CR7GeoV
    @CR7GeoV10 жыл бұрын

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    @praneshbalasubramaniam87496 жыл бұрын

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  • @profrobbob

    @profrobbob

    6 жыл бұрын

    Welcome back and THANKS for the shares and for subbing, don't forget to remind your friends how important it is to like, sub, support the ads and share ALL the free educational channels that you find helpful...that's how we grow and remain free...BAM!!! ...did you share with your teacher too?!

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    Hold onto that feeling and I hope you passed that test like BAM!!!

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    @fadelali84196 жыл бұрын

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    @profrobbob

    6 жыл бұрын

    I say BAM!!! to that Fadel:) ...I laugh when those commercials run! You're welcome and thanks for your support and appreciation too!

  • @profrobbob
    @profrobbob11 жыл бұрын

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  • @mariecarganilla4043
    @mariecarganilla40435 жыл бұрын

    Easy to understand. Glad I've found you

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    @profrobbob

    5 жыл бұрын

    BAM!!! Me too...thanks for the sub and please spread the word too!

  • @AleoHasan
    @AleoHasan12 жыл бұрын

    Thank you for this video!

  • @davidyurchi4362
    @davidyurchi436210 жыл бұрын

    I wish you were my math teacher!! She is never at school anyways so if you ever want to drop in as a supply it would be greatly appreciated :)

  • @XSTAYUPX
    @XSTAYUPX2 жыл бұрын

    what a great teacher. Thank You

  • @profrobbob

    @profrobbob

    2 жыл бұрын

    You're very welcome...thanks for the compliment and for tuning in! Don't forget to sub and spread the word...BAM!!!

  • @Co0kieNo0dle
    @Co0kieNo0dle11 жыл бұрын

    Thank you for the video! My teacher does a bad job explaining and I have to rely on youtube videos like yours to help me!

  • @dwinantopurwadi218
    @dwinantopurwadi2182 жыл бұрын

    seeing your videos show how easy math is

  • @profrobbob

    @profrobbob

    2 жыл бұрын

    As a teacher I always try to "teach" ...Thanks for watching and I hope that was meant as a compliment:)

  • @darrenpeterson5741
    @darrenpeterson57419 жыл бұрын

    Have u done a video on arrow notation? For some reason its troubling me.

  • @greazymofo78
    @greazymofo7811 жыл бұрын

    Hey Tarrou. Thanks for the video. What happens when numerator is a constant term. I notice there weren't any problems like that in the video. How do I solve something like: 12 / (x-6) ?

  • @profrobbob
    @profrobbob12 жыл бұрын

    Thank you! I am glad I could help:)

  • @dianadai1411
    @dianadai141111 жыл бұрын

    can we sub the critical values into the simplified equation rather than the original equation? Thanks.

  • @kristenbennett9026
    @kristenbennett90269 жыл бұрын

    THANK YOU!!!!!!!!!!! LOVE YOUR VIDEOS

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    You're welcome Kristen Bennett thanks for watching, loving and subbing!

  • @ryantan553
    @ryantan5532 жыл бұрын

    In the second question, is there a reason why the

  • @baltimoredude1
    @baltimoredude12 жыл бұрын

    @8:51 Shouldn't that be less than or equal to zero? You were correct on the other part of the equation.

  • @baejiyeonsoontobetuan2036
    @baejiyeonsoontobetuan20368 жыл бұрын

    I love you!!! Please pray for me that I may pass my exams in General Mathematics tomorrow!!!

  • @profrobbob
    @profrobbob11 жыл бұрын

    That's GREAT!...keep watching and learning and sharing my channel with others:D

  • @LiyaN122
    @LiyaN12211 жыл бұрын

    Very helpful. Thank you :)

  • @Ashhur
    @Ashhur11 жыл бұрын

    Thanks!! I got that* too eventually, thank you so much

  • @profrobbob
    @profrobbob10 жыл бұрын

    I like "always"...that must mean you are learning a lot of math:) Thanks for choosing to learn from Tarrou's Chalk Talk!

  • @profrobbob
    @profrobbob10 жыл бұрын

    THANK YOU:)

  • @battingstyle
    @battingstyle10 жыл бұрын

    Hey prof i got a question the second example when you took 5 to the other side why was the LESS OR EQUAL TO 5 sign was changed to LESS than zero only. shouldn't it still be less or equal to 0

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    Thank you for asking. I did not intend to lose the equal sine. I am adding an annotation correction right after I finish this reply.

  • @thezombiesolution

    @thezombiesolution

    9 жыл бұрын

    ProfRobBob glad that was fixed because that lost me for a minute.

  • @arabmd1505
    @arabmd15059 жыл бұрын

    your videos helped me a lot ; I am getting As now ................................thank you

  • @ashleyt4778
    @ashleyt477810 жыл бұрын

    what would you do if the polynomial below the denominator is not factorable for example (2x^1)/(x^2+1) > 0?

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    You just set the denominator =0, but not only is your denominator not factorable it also has no solution. So your only critical value will come from the numerator.

  • @ashleyt4778

    @ashleyt4778

    10 жыл бұрын

    thank you so much!

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    Ashley T ...and THANK YOU for studying!

  • @profrobbob
    @profrobbob12 жыл бұрын

    @MrShafin5 Thank you....that will be fixed by the end of today:)

  • @Stephanie-Gil
    @Stephanie-Gil5 жыл бұрын

    First, I would like to say, I love your videos! Second, Is there a short cut for this? xD

  • @TheRussianPhenom
    @TheRussianPhenom10 жыл бұрын

    What happens if the inequality has a hole where the graph does not exist (i.e. not an asymptote, but a point of non-existance or discontinuity)? Do I include it in the inequality, or do I have to reduce the rational function before proceeding? Intuitively, I would assume that you don't reduce, because the x-coordinate of the hole in the graph would be used as a critical value on the number line, but I'm unsure.

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    That is a really good question and my textbook does not have any problems like that:( Like you are thinking, I would be safe and include them in the inequality when finding the critical values you are going to set up your number line that you will test with.

  • @AlyPicon
    @AlyPicon6 жыл бұрын

    UR THE BEST!!!!

  • @profrobbob
    @profrobbob10 жыл бұрын

    THANK YOU...and thanks for subscribing too!

  • @HisBelovedQueen
    @HisBelovedQueen10 жыл бұрын

    u are amazing!

  • @jacqueseeroarque8665
    @jacqueseeroarque86658 жыл бұрын

    Thanks For The Salvation Prof! Pls Make More And More Videos For Us THANKYOU 😁

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    Thanks for watching...please like, sub and share too! ...580 aren't enough?!...lol

  • @atomicpotato124
    @atomicpotato1249 жыл бұрын

    i really wish you were my math teacher.

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    Now that you've subbed I can be your KZread teacher anytime you want to learn more math, 24/7 AtomicPotatoes Keep "spreading the word" :D

  • @sunilasharma6421

    @sunilasharma6421

    4 жыл бұрын

    @@profrobbob thnx

  • @profrobbob

    @profrobbob

    4 жыл бұрын

    @@sunilasharma6421 you're welcome...thanks for watching!

  • @profrobbob
    @profrobbob11 жыл бұрын

    Thanks for commenting about the positive, outgoing attitude...cause some just call me crazy..hahahaha! I enjoy what I do and subscribers like you continue to make that easy:))

  • @AnaSmith1723
    @AnaSmith172311 жыл бұрын

    Hi Professor Tarrou!! I enjoy how you match your clothing. And when you change your voice and say "whoooooo" LOL

  • @profrobbob
    @profrobbob11 жыл бұрын

    You're welcome!

  • @faithisabel25
    @faithisabel258 жыл бұрын

    Maraming Salamat (Thank you) for sharing this video! Mabuhay ka (More Power), Sir !

  • @Help22222

    @Help22222

    8 жыл бұрын

    stem?

  • @ashprime1880

    @ashprime1880

    8 жыл бұрын

    stem problems

  • @Help22222

    @Help22222

    8 жыл бұрын

    +Ash Prime ay truth

  • @xgruvialocser8196

    @xgruvialocser8196

    8 жыл бұрын

    Buti sainyu rational inequality samin line at conic section. RIP for us -STEM at SFNPS

  • @ashprime1880

    @ashprime1880

    8 жыл бұрын

    Samin po eto saka Conic sections :))

  • @AnaSmith1723
    @AnaSmith172311 жыл бұрын

    No, I didn't see it!! I was too busy studying you know...thats OK if I did not make it .What is important is that you are still ONLINE working so hard and still inspiring A's students who are getting B's and have bad teachers :) LOL

  • @Juanbaez_
    @Juanbaez_10 жыл бұрын

    I wish you were my college Algebra professor.

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    SUBSCRIBE and I can teach you all the math you want to learn…anytime you feel like watching another video:)…BAM!!!

  • @Juanbaez_

    @Juanbaez_

    10 жыл бұрын

    ProfRobBob thanks

  • @profrobbob
    @profrobbob11 жыл бұрын

    If I were making these videos as a full-time job I would love to do request. But teaching full time is what pays the bills:( I hope you can find something useful in my existing library...thanks.

  • @c4papix
    @c4papix9 жыл бұрын

    how would you solve the second inequality if the left side was an absolute value?

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    The second example in this video kzread.info/dash/bejne/g5OestyicbnRaJc.html will help:) The answers are -6.5 and -4

  • @c4papix

    @c4papix

    9 жыл бұрын

    ProfRobBob thanks. excellent stuff.

  • @profrobbob

    @profrobbob

    9 жыл бұрын

    nocturnal black thanks!

  • @PersianKamancheh
    @PersianKamancheh10 жыл бұрын

    Yeeeeeeee Brilliant Thank you ❤️❤️❤️❤️❤️

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    You're welcome...thanks for watching too

  • @profrobbob
    @profrobbob11 жыл бұрын

    You should substitute the critical values into the original equation.

  • @gapelestlier.4476
    @gapelestlier.44765 жыл бұрын

    thanks!!

  • @profrobbob

    @profrobbob

    5 жыл бұрын

    you're welcome...don't forget to sub and share this channel with everyone...BAM!!!

  • @user-ns5fx2ln4p
    @user-ns5fx2ln4p3 жыл бұрын

    you are amazing

  • @profrobbob

    @profrobbob

    3 жыл бұрын

    Thanks for watching and studying...please like, sub and share too:D

  • @jeffsumarrago9875
    @jeffsumarrago98758 жыл бұрын

    Very Helpful !!! 😁😁😁

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    Thanks for liking and learning...please sub and share too:D

  • @Ashhur
    @Ashhur11 жыл бұрын

    if it's less than or equal to it's a conjunction, no? so it the solution set has to fall in between. Can you please do a video asap for (3x-5)/(x+2) LESS THAN OR EQUAL TO 2? This is confusing me..... thanks!

  • @99lysergic50
    @99lysergic50 Жыл бұрын

    Damn man is lowkey drippin with that chain

  • @gedevega
    @gedevega11 жыл бұрын

    Thanks

  • @shaikhkhalid93
    @shaikhkhalid938 жыл бұрын

    Thank you sir

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    +Shaikh khalid you're welcome and thanks for liking and subbing too!

  • @shaikhkhalid93

    @shaikhkhalid93

    8 жыл бұрын

    ProfRobBob your most welcome sir

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    +Shaikh khalid and please tell all your friends and classmates to watch and do the same:D

  • @profrobbob
    @profrobbob11 жыл бұрын

    Just makin sure you're still awake out there in youtube land:)

  • @profrobbob
    @profrobbob10 жыл бұрын

    BAM!!! :)

  • @MariaMorales-po6zj
    @MariaMorales-po6zj7 жыл бұрын

    lol "Go do your homework" that is exactly what I am doing next.

  • @profrobbob

    @profrobbob

    7 жыл бұрын

    BAM!!! ...that's something all teachers like to hear:)

  • @Lobel_62883
    @Lobel_6288310 жыл бұрын

    im confused,what video should i watch befor this?

  • @profrobbob

    @profrobbob

    10 жыл бұрын

    My videos are in playlists by class/subject. There you will find my videos in the order that I teach them.

  • @TheLostLT
    @TheLostLT7 жыл бұрын

    BAM!

  • @profrobbob

    @profrobbob

    7 жыл бұрын

    You got it!!!

  • @keithhudson3138
    @keithhudson31384 жыл бұрын

    At 11:10 the answer should have been -8 divided by -2 and the answer should have been 4.

  • @joanlickona5115
    @joanlickona51155 жыл бұрын

    anyone else just love how he erases the chalkboard?

  • @profrobbob

    @profrobbob

    5 жыл бұрын

    Years of experience...thanks for noticing and watching!

  • @EverybodyEditsHacks
    @EverybodyEditsHacks7 жыл бұрын

    Wooooooooo!

  • @profrobbob

    @profrobbob

    7 жыл бұрын

    BAM!!!

  • @feenthehughman5099
    @feenthehughman50998 жыл бұрын

    got me hyped!! at 7:44

  • @profrobbob

    @profrobbob

    8 жыл бұрын

    Looks like it helped to motivate you to like and subscribe as well...BAM!!! THANKS!!!

  • @kurthperang8387
    @kurthperang83878 жыл бұрын

    tomorrow is my exam thank you I hope I can pass to my exam tomorrow. :( im so sad last exam I fail