Graphing Linear Inequalities from Standard Form
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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
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!
Amazing. My 200 dollar math book couldn't explain this but a KZread video can.
@jessicaauguste5743
7 жыл бұрын
Aida Agraan I suck at math so bad that I watch KZread videos.
@jaigautam6818
6 жыл бұрын
Aida Agraan some things are just that simple
I'm laughing bc I learned this in less than 5 minutes on here rather than at school.
@shivpatel2311
5 жыл бұрын
SAME
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.
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.
Thank you sooooo much!!! I looked at 6 different videos and couldn't understand any but I understood yours perfectly again thanks.
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!
plays eminem in the background lol
@willbowling8084
6 жыл бұрын
Luke Sky lose yourself
@jayvyzabala6808
5 жыл бұрын
(. .) 😂😂😂 ) . (
@SushiSauce
5 жыл бұрын
@@jayvyzabala6808 (.Y.) ).(
@ritamodungwa
4 жыл бұрын
literally not the best choice of background music coz my mind just keeps tryna rap "lose yourself"
You explain this WAAAYYYYY better than my algebra teacher.
Best explanation and easiest, thankyou so much sir.
@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
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.
What an amazing tutor. Explained in a very simple and easy way. You have got a very cool attitude.
Thank you for clarity. I appreciate you taking time to explain this ( good audio) and excellent visuals!
How come teachers can't teach like this?!
@ivankun6689
6 жыл бұрын
Underpaid teachers?
Who's here because you're studying for a test?
@shivpatel2311
5 жыл бұрын
SAME
@shimmer4771
5 жыл бұрын
Same.
@angelapetsch9845
5 жыл бұрын
same!
@rylanduncan1613
2 жыл бұрын
Well I'm here because I got to continue the test tomorrow and still don't know the concept. 😂
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.
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.
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 :)
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!
@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.
it seems so easy when you explain it! Thank you.
Background music - loose yourself instrumental
i.. i finally understand.. :') you cant even imagine the joy you have brought me...
@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.
@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.
@AnOmiCKs You are correct. I started using it before Chrysler but didn't pay as much to use it. Thanks for viewing and commenting.
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
You helped me to understand this. You are a genius. Thank you so much. Love,Love, Love, this.
Yes, I actually loved this. It really helped me understand it better. Thank u so much
Thanks. I didn't get it before, but now I get it. You are so helpful.
Good and really easy to understand. I like your choice of music also.
thank you so much, best tutorial out there, post more!
you dont know how happy i am this video helped alot im so great ful i actually get algerbra!!!!!!!!!!!!!!
I like the music with it. Makes me remember it all.
This helped me for like four minute. That's great. And by the way thank you very much
Thank you very much it helps a lot and clear to understand quickly.
this guy taught me everything in 10 minutes... much better than my shitty public school teachers... thank you :)
Your videos are life savers! i hope you have some Geomentry and alg2 videos...keep posting videos!
This video helped me a lot:) thank you!
that is 👌. the way you just explained is amazing ,blood curdling and easy. sorry mixture of words Thanks for making it easy!....
Merci et bonne journée! Do you have anything on Combining like terms. for example x+12-14x=5=2x-3 Thank you again.
I understood heaps after that. Thank you so much!
This is a really good video, thx for the help.
@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.
@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.
thank you so much for this! It was extremely helpful! Keep the vids coming :)
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
5:37 shouldn't the sign change ?? From greater to less then -7?
thank you....you are better than my teacher
What if you have a #y that can't divide by the number by itself. Like 3x-5y-6
What is the difference between shading and reverse shading?
This video helped me so much 🙌
omg it can't be this simple!! thanks so much
khan academy couldent even help me on this one , you sir are a hero
thanks a lot. The best part about the video was that it got along perfectly with lose yourself.
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.
This was really helpful...thanks a lot
Such a great help thanks!!
@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.
Great explanation.
Made it easy, nice video.
That was pretty easy ! Thank you soo much
yo this helped me so much thank you
Thankyou!!!!! It makes sense now!!!
love this, thank u so much
thank you and nice choice of music
@vannehxx Okay. Please give me a specific problem and I'll see if I can help.
so this is a way where you don't use the slope?
@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.
thanks so much i have so confused at this concept u r the best man!!!!!!!:) Make more videos!!!!:_)
thanks. this video really helped.
Why is that you didn't switch the inequality sign when dividing by -8x but you did when dividing by -9y??
@ReenaUtubez
9 жыл бұрын
i was wondering why he didnt switches the symbol too coz he divided by a negative..
@user-jn8sx3ur9t
8 жыл бұрын
i thought the same
@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
5 жыл бұрын
I was confused toooooo
u broke it down really good👍👌👌
Really helped, thanks!
this was helpful I'm taking my eoc tommorow so thank u
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.
Thank you for the video it was very helpful
thank you sooo much you just saved my life :D
mans out here rapping math equations to an eminem sample
what if you have a fraction?
Very very helpful
thxs I have to test tmr And this helped alot
Thank u so much, u helped me a lot
Thank you so much!!!
Thank You Sir :D so i can be ready for my test tmr
what about like -2x-5>13??
Thank you so much sir!
thanks a lot it helped me a lot
No it was not in one of your problems you did not change your sign when dividing by a negative number.
If you mean 3x - 5y > 6, for instance, you'll have a y-intercept of -6/5. Thanks for viewing and commenting.
Very much helpful👍
omg you're aweosme it really helped me
Is that "Lose Yourself" in the background?
waite what if theres no # by y and thats what you need to figure out???
Very good teacher really
Why did you switch the signs when you divided by -8?
@AL-nr7th
9 жыл бұрын
Whenever you divide by a negative number, you switch the signs.
@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)
thank you thank you thank you thank you !
Thanks a bunch !!
That eminem in the backround tho 😂😂😂
Thanks so much