Graphing Linear Inequalities - MathHelp.com - Algebra Help

For a complete lesson on graphing linear inequalities, go to www.MathHelp.com - 1000+ online math lessons featuring a personal math teacher inside every lesson! In this lesson, students learn to graph inequalities in two variables. For example, to graph y is less than x + 2, the first step is to graph the boundary line y = x + 2, using the chart method from lesson 4B. Note that greater than or less than means that the boundary line will be dotted, and greater than or equal to or less than or equal to means that the boundary line will be solid. To determine which side of the boundary line to shade, substitute a test point, such as (0, 0), into the original inequality, y is less than x + 2. Since (0) is less than (0) + 2, or 0 is less than 2, is a true statement, the side of the line that contains the point (0, 0) is shaded.

[@miranhassan3706]

You can tell he LOVES his job

[@Blockistium]

The great thing about this guy is how calm he is. My Algebra teacher spends the entire lesson steaming at the ears and yelling at the class.

[@blakelebahn3462]

So much energy!

[@SamboBambo]

I'm doing independent study Algebra II this year. This helped SO much! This was so much easier than just trying to figure it out in a book.

[@kjh-vq5rh]

Thank you, this video helped a lot! No thanks to my math teacher.

[@CadeWCproductions]

my teacher tought me this same stuff for three periods, and this guy says it once and i get it. i love it.

[@reneebutler5386]

Thankyou soooo much! youre so much better than my normal teacher :)

[@damouzumaki7410]

Lol when I miss school this is what the outcomes comes to is watching this shit for help😅😅

[@oa409]

Thank god! I have an exam tomorrow that i need to make an A in order to pass the semester and this helped me a lot! Thanks!

[@LilKempy]

This is what actual sense sounds like. Yes, Sweet understanding of Mathematics at last.

[@AspiePilo82]

this wasnt good.. this was great! this is how teaching is suppose to be. he explains things slow and clearly, which is a great method because we are able captivate everything he explains, great work, and many props to this teacher!

[@Valkyrie1808]

Thank you for completing my Math Homework :)

[@TheSoccerKitten]

I guess you could put it that way. Yes, I agree. I do take notes, but what I find is that the notes don't help me really comprehend it as fully as it should if she taught it well. Math is one of my strengths, but the teacher really does make it or break it.

[@abbamunansangu5096]

these guys love their jobs .I've understood so well thankyou

[@Narutoonepiecefan3]

wow, now I completely get it!!!! The math teachers in school always go super fast and don't explain in depth and let me finish my notes. It's like they make math class function in a way so that only the kids in the 90's percentiles of standard testing or straight A's' in class.I am starting to think that maybe we shouldn't even go to school anymore. We could just learn this sh*t on our computers and work at our own pace and not have to worry about distractions or getting yelled at.

[@whiteboychef]

Explains much better than my teacher, and I have a test on this tomorrow thanks for the help ^.^

[@M1CHO25]

SO FAR BEST EXPLANATION IVE GOTTEN

[@Frankie431]

its funny how i cant never understand nothing on class but i just learned this in 3:36 thank you so much for uploading this

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[@ingepea88]

it is just for example. you could use -1 -2 and -3 if you wanted. or 14, 15, and 16. it is just easiest with 1, 0 and -1 because that is an easy place to label on the grid.

[@msrocker87]

There is no need to make a chart and plug those random coordinates into the equation to get points to graph the line. If you know anything about y=mx+b form, you would know that in the equation y = -4x - 3, -3 is the y intercept and -4/1 is the slope. Skip the chart and go straight to graphing, saves time.

[@robloxguy1999]

Wow,thx a lot,I didn't understand my teacher because I wasn't listening.You helped me.

[@azarvash]

what is the area of the region enclosed by the 4 given inequalities

[@Andrew4665]

This guy is a really good teacher damn.

[@NekoChanTan]

I'm not sure if anyone responds to these questions, but how did he choose what numbers to put in place of x in 0:53-0:56?

[@monicadiep2006]

So, if the equation is true, you shade the section where 0,0 is in?

[@HesHerAndersom]

so how do you determin the x value in the chart?

[@bluliite]

I didn't know you could multiply negatives. Two negatives equal a positive. I don't know how, but now I know. Nice graph :)

[@shoppaholicxx]

can you plug in any numbers on the chart ?

[@Carolinefdq]

How did you get the x values in the chart?

[@willie34211]

so can you use 0, 0 for every linear inequality?

[@willie34211]

what do you do if you have y is smaller than 7 over 3 x minus 5?

[@magdaelizon]

he makes me understand Math so easy :) thanks a lot!

[@Trogdor1597]

Umm... im just wondering but how did you do on that test??

[@KTAC1]

where did you get the 1, 0, and -1 from?

[@Holyassassin7]

THanks a lot!!! He is better than my math teacher. They should no joke fire my math teacher, especially since this is the first year hes teaching at my school

[@angelmiibaybeh]

wait how can u tell if your gonna use a dashed or solid line please help

[@GerlinMoratalla]

Thank you so much! You helped me a great deal! We've been learning this for 5 days in class and none of it stuck! And, 4mins with watching THIS and boom! I understand! Wish you were my teacher. Mine doesn't teach it very well. Plus, he doesn't even help us understand it! :O

[@saberkix]

For the numbers under x, do u normally use 1,0,-1 because it is easier? Can u use any number?

[@Mr1996Ali]

3x> = to 9 this is because you move the 2x the side left by subtracting from both sides because its and equation and then adding 6 on both sides to get ride of the negative 6 which leaves u with 3x>= 9 so you then simplify it by dividing it all by 3 giving x>=3

[@DarkProphet5164]

i understood more in 2 mins than i did in 2 hrs this guy is good

[@SophiaMalakAart]

its easier to go down four, over right one. if u wanna get more than one point, go up four, and over left one. very helpful :P

[@eternal_psy]

@Carolinefdq It can be any values you want to. He did those numbers because they are small and easy to calculate with

[@elgrandesnipe]

And we have our graph magnificent you really helped with a math problem that I had no idea where to start :D

[@sammymay232]

i love you mr.monotone teacher guy!thanks for your help!!

[@TheAlex445]

at 1:11 , where did he get the 1, 0, and -1 for x??

[@tailapeterjohnston]

wow you rock! Thanks for teaching me something that seemed impossible to me 4 minutes ago :)

[@jetblack357]

Thank you very much I really need to know this for the EOI test coming up in May.

[@wimullin]

He makes it harder than it should be

[@firepowerminer]

HIS LINES ARE SO DAMN PERFECT!!!!

[@xXbeanybearXx]

you are better than my math teacher. she puts up examples from the math book and she explains it but not in a clear way

[@oprah7]

wow i really needed this im taking the regents today. thx

[@BG808-]

On the first x term isn't - 4 times - 3 and positive 7?

[@D3C3PT1V3M0T10NZ]

@NekoChanTan I'm assuming because those are the easiest numbers to input. I mean, if he were to pick 5, 6, and -7, it would be harder to graph those and connect them. If you have smaller, closer numbers, such as 1, 0, and -1, it's easier to plug them into the equation and do it, rather than larger, more unnecessary numbers. Why work hard when you don't have to?

[@WWproper]

It is the easiest form of units to use when making a Linear table. Using the numbers: 19, 0, -19 would be a lot harder, right? :)

[@hank01000]

ok, how do i solve 5x-6> or equil to 2x plus 3?

[@cobraunit66]

I was confused at first but at the end I found out it's really easy

[@Joshf360]

@lalanto341 1,0,-1 are static #'s that can come from anything....Each value you choose for (x) will yield a different (y). Most people use 1,0,and -1 because they are the easiest to use in algebraic equations but if you wanted to you could use 9,6,3,0-3,-6,-9 or anything else you chose.

[@pandagal3]

thank you so much for the help! wow i wish my teacher explained it that way, now i wont fail my midterm!

[@PaintingHeartsBLACK]

You could use any numbers and it would still work out. 1, 0 and -1 are just the easiest numbers to use:)

[@TrulyTyler91]

thank you so much! your videos are always so helpful!!!

[@LeeAnnSvec]

Thanks for the help with my homework! :D

[@pbhello]

I was doing well until I was asked to graph the system of inequalities of { y -x now I am looost. help anyone?

[@xoriyon321]

you are ment to know that of by heart so when y is 1 so is x and so on, and when y is 1 x is -1 ans so on if you have maths watch use that it helps alot

[@ButterflyPLUR]

I do online schooling. Every unit they give me about 25-30 pages to read on one certain lesson. I could read all of those pages and not have ANY clue what they mean. I watch this video and I understand completely. -_-

[@M2caf]

4:05 He gives the most studly face that says: "That;s right i just fucked shit up"

[@TacOhMan]

Ok this guy needs to be my algebra 2 teacher.

[@vjgray]

This was very helpful. Thank You.

[@stacecil11]

LOOK AT THAT DOTTED LINE! HE'S GOOD!

[@purplehazee117]

@TrustedMisleader TRUE THAT! Why cant our professors teach like this!!!

[@Seafrad]

I thought this was quite good, thanks for posting

[@fluffyrolls]

@twister1990 it's either because (0,0) doesn't work..or... the inequality sign is reversed.

[@TheSharkbite1]

this guy has alot of energy :D thumbs up if u agree

[@sparkelpop26]

can anyone help me graph x is less than or equal to y ??

[@valou1128]

awsome vid! i now understand what "shade the true side means"! so basically if o,o works,shade it!

[@jasminesanders9083]

his voice is monotone asf

[@ary8890]

Still dont get why its dotted

[@Onnytzzify]

How about try some one variable instead of two variables

[@MaryMary-fc3nh]

Thanks so much for the help God bless you

[@vkev21]

you sir are a genius.

[@JWDeRosa]

Why are you guys better than my math teacher .-.

[@alexandersk8ta]

This video helped me sooooo much!!!

[@cdu4meandu]

WOW! this helped so much! why cudnt u have been my algebra 1 teacher!?

[@CatouriSimonetteXBoo]

Wow, very informative

[@scrface000]

this guy is a boss.

[@chriscolijn]

what about this: -y is less than -x - 2

[@dezoquinn8178]

He's so enthusiastic

[@asiantongue]

Is he like shading the unwanted region or the wanted

[@raj2002swim]

wow you were better than the explanation in my messed up workbook XD

[@XrecontroopX]

Good Explanation 5/5!

[@Killawolf95]

@Jiggs1097 Again how about if you need to pass the lesson to pass the class??? And even if you're not going to be a pilot wouldn't it be nice to learn how to fly incase one is need incase of emergency??(poor analogy just had to point it out)

[@M1cullen]

This helped alot! Thnx!

[@TheSoccerKitten]

@ChiIdKiIIer I assure you I'm paying attention. I have an "A" in the class. I'm in all Honors classes and getting straight A's. The thing is, that not all teachers are excellent teachers. My teacher is one of those. She teaches much too fast and tests material on the day or the day after it has been first covered. The reason I have the "A" is that I get help from outside assistance solely. I do not need tutoring, I'm good at math. It's that the teacher goes too fast to actually learn it well.

[@flamergazer]

He's a wizard!

[@niezllynngracesy521]

This really helped! :)

[@ChiIdKiIIer]

@TheSoccerKitten do you have honors class? if so then you're just experiencing a mini "college life"

[@miah6613]

This helped sooooo much

[@thesammyginz]

thanx cuz now i actually get it!!!

[@TurtIedd]

@TheSoccerKitten You think the teachers are the problem when really it's the student. Don't get me wrong, there are terrible teachers out there but usually it's just because all students learn in different ways. The reason it's so easy to learn from videos like these is because it's a more personal way of teaching. Also people think that teachers spend hours teaching this when really they spent 20min and the rest of class is there for them to work on homework and ask questions

[@makainalley4944]

really helped thank you

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THEE BEEEEEEST! THANK YOU!