Graphing Linear Inequalities from Standard Form

www.gdawgenterprises.com
This particular video, while I think one of my best, still has a minor mistake that is corrected in the updated version. Just click the caption in the video to get to it. This video demonstrates how to graph linear inequalities in standard form with the x- and y-terms on one side of the symbol and the number on the other side of the inequality. This method involves finding the x- and y-intercepts, then drawing a line through the two intercepts, forming a boundary line. Whether the boundary line is dashed or solid is discussed. Also, which way to shade the inequality, above or below the boundary line is covered. Another thing covered is if you have to change the direction of the inequality symbol when dividing by a negative number to solve for y. Finally, checking the proper shading by using the point (0, 0) is demonstrated.

Пікірлер: 169

  • @normalewis1443
    @normalewis14432 жыл бұрын

    I spent 3 days trying to get the fundamentals of this down. Thank you for teaching me how to do this in less than 10 minutes. After the first example, I got it! The rest was just reinforcing my confidence. Thank you so much for making these videos!

  • @aidaagraan5316
    @aidaagraan53169 жыл бұрын

    Amazing. My 200 dollar math book couldn't explain this but a KZread video can.

  • @jessicaauguste5743

    @jessicaauguste5743

    7 жыл бұрын

    Aida Agraan I suck at math so bad that I watch KZread videos.

  • @jaigautam6818

    @jaigautam6818

    6 жыл бұрын

    Aida Agraan some things are just that simple

  • @cloey97
    @cloey9710 жыл бұрын

    I'm laughing bc I learned this in less than 5 minutes on here rather than at school.

  • @shivpatel2311

    @shivpatel2311

    5 жыл бұрын

    SAME

  • @lanesheialmiller9182
    @lanesheialmiller91829 жыл бұрын

    Kinesthetics, Visionary, and Auditory are some learning styles, and he as a bass in his voice; That's how I know he is a Kinesthetics style teacher. Awesome job, sir! I appreciate your technique.

  • @jlpetty85
    @jlpetty857 жыл бұрын

    Thank you for the clarity! I'm ready to "lose myself in the moment". Lol. I really appreciate you taking the steps to show how to isolate the x and y intercepts from standard form, that's the steps that my online course wasn't showing and the direct cause of my confusion.

  • @tonyboro3981
    @tonyboro39817 жыл бұрын

    Thank you sooooo much!!! I looked at 6 different videos and couldn't understand any but I understood yours perfectly again thanks.

  • @elliecath9684
    @elliecath96845 жыл бұрын

    Thank you sir. This was so helpful. You are the only one here who explained how to get the x and y intercept. I didn't even realize there was a background music until I started reading comments. I was just too focused on understanding how you find the intercepts. Thanks again!

  • @lukesky107
    @lukesky1077 жыл бұрын

    plays eminem in the background lol

  • @willbowling8084

    @willbowling8084

    6 жыл бұрын

    Luke Sky lose yourself

  • @jayvyzabala6808

    @jayvyzabala6808

    5 жыл бұрын

    (. .) 😂😂😂 ) . (

  • @SushiSauce

    @SushiSauce

    5 жыл бұрын

    @@jayvyzabala6808 (.Y.) ).(

  • @ritamodungwa

    @ritamodungwa

    4 жыл бұрын

    literally not the best choice of background music coz my mind just keeps tryna rap "lose yourself"

  • @chloem.4873
    @chloem.48736 жыл бұрын

    You explain this WAAAYYYYY better than my algebra teacher.

  • @palakkhannaa
    @palakkhannaa7 жыл бұрын

    Best explanation and easiest, thankyou so much sir.

  • @Sei783

    @Sei783

    7 жыл бұрын

    What is taught in school is to rewrite the equation into slop intercept form y = mx + b which always leaves me with a fraction. example: 3x + 4y > 12 rewrite slop intercept form then simplify 4y > -3x + 12 = y > -4/3x + 3 now graph y > -4/3x + 3 Why would anybody do that? When you can get a much cleaner answer doing it this way? 3x + 4y > 12 3x > 12 = x > 4 4y > 12 = y > 3

  • @naseempatel4795
    @naseempatel47958 жыл бұрын

    This video made life so much easier for me. For some reason I would always get confused with graphing and solving at the same time but now I know.

  • @sksuraz
    @sksuraz6 жыл бұрын

    What an amazing tutor. Explained in a very simple and easy way. You have got a very cool attitude.

  • @debdo1960
    @debdo196014 жыл бұрын

    Thank you for clarity. I appreciate you taking time to explain this ( good audio) and excellent visuals!

  • @hillz1625
    @hillz162510 жыл бұрын

    How come teachers can't teach like this?!

  • @ivankun6689

    @ivankun6689

    6 жыл бұрын

    Underpaid teachers?

  • @solo6058
    @solo60586 жыл бұрын

    Who's here because you're studying for a test?

  • @shivpatel2311

    @shivpatel2311

    5 жыл бұрын

    SAME

  • @shimmer4771

    @shimmer4771

    5 жыл бұрын

    Same.

  • @angelapetsch9845

    @angelapetsch9845

    5 жыл бұрын

    same!

  • @rylanduncan1613

    @rylanduncan1613

    2 жыл бұрын

    Well I'm here because I got to continue the test tomorrow and still don't know the concept. 😂

  • @maddogmatt2343
    @maddogmatt23434 жыл бұрын

    They should just put this guy on the projector, he teaches better than most math teacher. Mine just tells us to do work in our book and figure it out.

  • @gdawgrapper
    @gdawgrapper11 жыл бұрын

    Of all the great things about Khan, the most amazing thing to me is that he seems to cover everything. I'm glad to have covered something he did not cover. Thanks for viewing and commenting.

  • @debdo1960
    @debdo196013 жыл бұрын

    Thank you sooooo much for bringing clarity to graphing inequalities. I was able to solve my problem on my assignment thanks to your clear and throrough instructions :)

  • @jessiboo6012
    @jessiboo60129 жыл бұрын

    wow u have showed me how to graph this stuff, in just a few minutees! something my dam teacher could have not done! you are just awesome!thankyou so much!

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @kakaaki7 Good question. In the 2nd example you mentioned, we were divding 56 by -8 to get the x intercept. The x intercept has nothing to do with the graph being shaded up or down, but if it is shaded to the left or right of the x-intercept. If you mark the y-intercept first and you mark the x intercept next, you then change the direction of the sign, and shade to the left of the boundary point, the x intercept, and it gives you the same as my answer. Thanks for viewing and commenting.

  • @melissamorgan8469
    @melissamorgan84698 жыл бұрын

    it seems so easy when you explain it! Thank you.

  • @prateekprasad5179
    @prateekprasad51799 жыл бұрын

    Background music - loose yourself instrumental

  • @animefangirlofawesom
    @animefangirlofawesom11 жыл бұрын

    i.. i finally understand.. :') you cant even imagine the joy you have brought me...

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @vannehxx For the x-intercept, you cover up the 3y and you're left with an x-intercept of pos 4. Mark it with a point on the x-axis at (4, 0). Next, find the y-intercept by covering up the x so you have 3y < 4. To solve for y, divide by 3 so you have a y-intercept of 4/3. Mark it on the y axis. It's 1/3 of the way up from y = 1 and y = 2. Since it's less than but not equal to, draw a dashed line between the x and y intercept. And finally, since it's y < 4/3, shade below the line.

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @mtvrdeich You are correct. I could have and technically should have. But the x-intercept was needed only to draw the boundary line. It was with the y-intercept that I used to determine the direction of the inequality and so in spite of my technical lapse, the inequality was still graphed correctly. Plus I used the checking procedure that would also have caught a mistake as well. Thanks for viewing and commenting.

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @AnOmiCKs You are correct. I started using it before Chrysler but didn't pay as much to use it. Thanks for viewing and commenting.

  • @Juju-bj7wh
    @Juju-bj7wh10 жыл бұрын

    You are perfect at first I use to put the inequality in standard form then draw by substituting points but what you have done is totally easy and saving time in exam

  • @reneemagray
    @reneemagray13 жыл бұрын

    You helped me to understand this. You are a genius. Thank you so much. Love,Love, Love, this.

  • @ErutojuOwoelo
    @ErutojuOwoelo13 жыл бұрын

    Yes, I actually loved this. It really helped me understand it better. Thank u so much

  • @kaizenschanz4453
    @kaizenschanz445311 жыл бұрын

    Thanks. I didn't get it before, but now I get it. You are so helpful.

  • @mercuryx3
    @mercuryx311 жыл бұрын

    Good and really easy to understand. I like your choice of music also.

  • @MicahBraunlich
    @MicahBraunlich6 жыл бұрын

    thank you so much, best tutorial out there, post more!

  • @allisonleon358
    @allisonleon35811 жыл бұрын

    you dont know how happy i am this video helped alot im so great ful i actually get algerbra!!!!!!!!!!!!!!

  • @irishslaves7728
    @irishslaves77287 жыл бұрын

    I like the music with it. Makes me remember it all.

  • @salmanAli-gt2tp
    @salmanAli-gt2tp6 жыл бұрын

    This helped me for like four minute. That's great. And by the way thank you very much

  • @melatg6907
    @melatg69075 жыл бұрын

    Thank you very much it helps a lot and clear to understand quickly.

  • @HarnessRacingGod
    @HarnessRacingGod11 жыл бұрын

    this guy taught me everything in 10 minutes... much better than my shitty public school teachers... thank you :)

  • @handywrap6200
    @handywrap620012 жыл бұрын

    Your videos are life savers! i hope you have some Geomentry and alg2 videos...keep posting videos!

  • @verun12
    @verun1210 жыл бұрын

    This video helped me a lot:) thank you!

  • @shafiullah8354
    @shafiullah8354 Жыл бұрын

    that is 👌. the way you just explained is amazing ,blood curdling and easy. sorry mixture of words Thanks for making it easy!....

  • @reneemagray
    @reneemagray13 жыл бұрын

    Merci et bonne journée! Do you have anything on Combining like terms. for example x+12-14x=5=2x-3 Thank you again.

  • @chloewong6366
    @chloewong63667 жыл бұрын

    I understood heaps after that. Thank you so much!

  • @1reviews161
    @1reviews1617 жыл бұрын

    This is a really good video, thx for the help.

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @Sbrocchi0 Reverse shading is shading the inequalities in the opposite manner to how I show in the video, so that the unshaded area contains the solutions. The advantage of reverse shading is that sometimes it may be easier to see what the solutions are especially when graphing systems of inequalities. I think that in certain areas of the world mathematicians prefer reverse shading. One of my Australia viewer told me that "nowadays", the solutions are in the non-shaded areas. Thanks.

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @xFuJai You are correct. I like having background instrumentals. I find that the students hang in there better with background music. Somehow it helps my videos to be less boring, or so they say. Thanks for viewing and commenting.

  • @xAlyssaJean
    @xAlyssaJean11 жыл бұрын

    thank you so much for this! It was extremely helpful! Keep the vids coming :)

  • @riyakhan4731
    @riyakhan47317 жыл бұрын

    Why you didn't change the sign when divided 56 with -8 for x value ?? .As dividing or multiplying with negative no. Changes the sign . Waiting for reply

  • @invadetrex9912
    @invadetrex99127 жыл бұрын

    5:37 shouldn't the sign change ?? From greater to less then -7?

  • @ellythyheikal9818
    @ellythyheikal98188 жыл бұрын

    thank you....you are better than my teacher

  • @philattack100
    @philattack10011 жыл бұрын

    What if you have a #y that can't divide by the number by itself. Like 3x-5y-6

  • @Sbrocchi0
    @Sbrocchi013 жыл бұрын

    What is the difference between shading and reverse shading?

  • @myalivous6994
    @myalivous69948 жыл бұрын

    This video helped me so much 🙌

  • @yolandaday5500
    @yolandaday55007 жыл бұрын

    omg it can't be this simple!! thanks so much

  • @XxFiFAUNITEDxX
    @XxFiFAUNITEDxX11 жыл бұрын

    khan academy couldent even help me on this one , you sir are a hero

  • @erumasim6338
    @erumasim63388 жыл бұрын

    thanks a lot. The best part about the video was that it got along perfectly with lose yourself.

  • @gdawgrapper
    @gdawgrapper12 жыл бұрын

    Not a lot of Geometry videos, but I'm about halfway through creating a series of Algebra 2 videos. I'll try to send you a PM with a link to the introductory Alg 2 video. Thanks for viewing and commenting.

  • @joycetogba7812
    @joycetogba78127 жыл бұрын

    This was really helpful...thanks a lot

  • @nsbarner
    @nsbarner10 жыл бұрын

    Such a great help thanks!!

  • @gdawgrapper
    @gdawgrapper12 жыл бұрын

    @herna2418 No. But in subsequent videos, I did take a picture of my thumb and have used my picture. I think that if you click the link to the updated version to the video, the thumb used is a picture of my own. Thanks for viewing and commenting.

  • @matthewsphiri7571
    @matthewsphiri7571 Жыл бұрын

    Great explanation.

  • @FaustV1
    @FaustV15 жыл бұрын

    Made it easy, nice video.

  • @missnoura9450
    @missnoura94509 жыл бұрын

    That was pretty easy ! Thank you soo much

  • @ruerre
    @ruerre8 жыл бұрын

    yo this helped me so much thank you

  • @sophiahawke4118
    @sophiahawke41186 жыл бұрын

    Thankyou!!!!! It makes sense now!!!

  • @sabrina_alph5475
    @sabrina_alph54756 жыл бұрын

    love this, thank u so much

  • @l3aIIin23
    @l3aIIin2313 жыл бұрын

    thank you and nice choice of music

  • @gdawgrapper
    @gdawgrapper13 жыл бұрын

    @vannehxx Okay. Please give me a specific problem and I'll see if I can help.

  • @someoneyoumightormightnotk6018
    @someoneyoumightormightnotk60189 жыл бұрын

    so this is a way where you don't use the slope?

  • @gdawgrapper
    @gdawgrapper14 жыл бұрын

    @wat3rbottl3 The solutions being in the non-shaded side? That's the first I've heard that. I looked you up and saw you are from Australia. I wonder if it's an Australia thing, which side to shade. I'll do some research. When I make these, I don't necessarily take into account a worldwide audience. Thanks for viewing and commenting.

  • @youtubecommoner
    @youtubecommoner14 жыл бұрын

    thanks so much i have so confused at this concept u r the best man!!!!!!!:) Make more videos!!!!:_)

  • @kemiley56
    @kemiley5613 жыл бұрын

    thanks. this video really helped.

  • @NikkFlo
    @NikkFlo9 жыл бұрын

    Why is that you didn't switch the inequality sign when dividing by -8x but you did when dividing by -9y??

  • @ReenaUtubez

    @ReenaUtubez

    9 жыл бұрын

    i was wondering why he didnt switches the symbol too coz he divided by a negative..

  • @user-jn8sx3ur9t

    @user-jn8sx3ur9t

    8 жыл бұрын

    i thought the same

  • @user-kl8vj2qy9w

    @user-kl8vj2qy9w

    8 жыл бұрын

    I know that's wrong but actually all you need is to get the values correct and the sign of the y inequality correct. Then you can graph it.. The x's sign doesn't really matter ...

  • @vaishalipatel398

    @vaishalipatel398

    5 жыл бұрын

    I was confused toooooo

  • @tay_tayh8391
    @tay_tayh83917 жыл бұрын

    u broke it down really good👍👌👌

  • @10203Daniel
    @10203Daniel12 жыл бұрын

    Really helped, thanks!

  • @dreamfreemaya8578
    @dreamfreemaya85787 жыл бұрын

    this was helpful I'm taking my eoc tommorow so thank u

  • @gdawgrapper
    @gdawgrapper11 жыл бұрын

    I'm not sure I understand the situation. If there's no number next to the y, that means one y. So when you cover up the x term, you will just have y is less than or greater than something, and that number on the other side of the inequality symbol is where you'll mark the y-intercept of that inequality, then cover up the y and solve for the x-intercept, then draw the boundary line, then shade above or below. Thanks for viewing and commenting.

  • @PsHYk209
    @PsHYk2098 жыл бұрын

    Thank you for the video it was very helpful

  • @XxlilGelixX
    @XxlilGelixX13 жыл бұрын

    thank you sooo much you just saved my life :D

  • @jakobpritchard6300
    @jakobpritchard63003 жыл бұрын

    mans out here rapping math equations to an eminem sample

  • @Itsmikkk
    @Itsmikkk10 жыл бұрын

    what if you have a fraction?

  • @bossemup4564
    @bossemup45648 жыл бұрын

    Very very helpful

  • @denzelh.7227
    @denzelh.72277 жыл бұрын

    thxs I have to test tmr And this helped alot

  • @Shi5rib
    @Shi5rib11 жыл бұрын

    Thank u so much, u helped me a lot

  • @LM-lj2cf
    @LM-lj2cf9 жыл бұрын

    Thank you so much!!!

  • @vlzpeach1467
    @vlzpeach14678 жыл бұрын

    Thank You Sir :D so i can be ready for my test tmr

  • @OxfordProductions15
    @OxfordProductions1513 жыл бұрын

    what about like -2x-5>13??

  • @camillewilson6223
    @camillewilson622310 жыл бұрын

    Thank you so much sir!

  • @gnardec
    @gnardec7 жыл бұрын

    thanks a lot it helped me a lot

  • @jdsmith197498
    @jdsmith1974987 жыл бұрын

    No it was not in one of your problems you did not change your sign when dividing by a negative number.

  • @gdawgrapper
    @gdawgrapper11 жыл бұрын

    If you mean 3x - 5y > 6, for instance, you'll have a y-intercept of -6/5. Thanks for viewing and commenting.

  • @clumsymiss6280
    @clumsymiss62808 жыл бұрын

    Very much helpful👍

  • @zottelluke
    @zottelluke13 жыл бұрын

    omg you're aweosme it really helped me

  • @AnOmiCKs
    @AnOmiCKs13 жыл бұрын

    Is that "Lose Yourself" in the background?

  • @allisonleon358
    @allisonleon35811 жыл бұрын

    waite what if theres no # by y and thats what you need to figure out???

  • @WirelessBrain2
    @WirelessBrain211 жыл бұрын

    Very good teacher really

  • @latepass
    @latepass9 жыл бұрын

    Why did you switch the signs when you divided by -8?

  • @AL-nr7th

    @AL-nr7th

    9 жыл бұрын

    Whenever you divide by a negative number, you switch the signs.

  • @Emk315

    @Emk315

    8 жыл бұрын

    +Anna A also when you multiply by a negative the sings change as well. Suppose you are given -2/3x + 3 It might be more confusing dealing with fractions here, so, go aheads and multiply -2 on both sides. (-2) -2/3 +3 -22 Subtract 3from both sides = 3x + 3-3 > -22 -3 = 3x > -25 divide by 3x = 3x/3x > -25/3x (x= -25/3 solution)

  • @8cerati
    @8cerati11 жыл бұрын

    thank you thank you thank you thank you !

  • @user-kl8vj2qy9w
    @user-kl8vj2qy9w8 жыл бұрын

    Thanks a bunch !!

  • @evadefaction3029
    @evadefaction30297 жыл бұрын

    That eminem in the backround tho 😂😂😂

  • @haloguy214
    @haloguy2149 жыл бұрын

    Thanks so much