Graphing Inequalities in Two Variables

[iDawnheart]

Man's a sodding genius. My math teacher stood up and lectured us on this for fifty-five minutes, yelling idiocy like "Any drunk monkey can do this!" whilst everyone has no idea what he's talking about. This guy taught me in less than five. Fantastic!

[bellathable]

omfg thank you!

[BackOffImCraZy]

i read my textbook for and hour trying to learn this and this guy taught me in 4 minutes.

[Pocketsgirl]

Thanks sooo much!!!:D

[ShadowGuard95]

Can you do this with 2 equations as well?

[Skipe247]

Okay...WHAT?

[TheHungergames1fan]

Thank you so much it was very helpful

[shaaadupp562]

OH MY GOSH!! I GET IT! I fell asleep in my math class so i couldnt do my homework,but now i can thanks a lot Hansen48066!!! Keep em comin. :)

[KingScoobyy]

THANK YOU ! & its 2011

[haleymichelle32197]

soo helpful! thank you!

[emmiedoodles]

i have a test on this tomorrow, you just saved me! haha Thank you! i actually get it now!

[GoldenViper1]

WOW ive been studying this for the past 3 days for 2 hours a night and i still couldnt get it until now THANK YOU

[KJByers10]

you are my hero thank you

[TheEmocute]

This is > my teacher. *_*

[nowshadbipu]

this is just outstanding!!!

[hijuustinbieber14]

OMG i finally found someone who can explain this to me. NOW I finally understand this. Thank you so much Hansen 48066!

[stealthmintblue]

Thank you so much!

Especially for the third example!!!

[niginai]

lol are you canadian?

[marinerman24]

thank god, in just the first minute you taught me more than my math teacher did in 6 weeks.

[LookitsRebecca76]

THIS WAS SOOO HELPFUL!!!

[VideoGameResearcher]

Thank you sir!!! Took me about a hour to finally figure this out!!! I have a good math teacher but....it seems like she goes through the lesson too fast. It was like a hour class but I didn't understand ONE thing she was talking about. guess this is what I get for being in honors >_> Hate it a lot....

[willie34211]

ok i get the second one and all the other but what if you have y is greater than negative 4 over five x?

[JapeGrape1]

So 15 minutes ago i was doing my homework and got stuck. My mom told me i was wasting my time but this is soo much better than any text book.

[prabh6421]

i thought if its greather than -4 you shade to the right

[ExciZioN]

I love how my teacher gets pissed off and says "other teachers are wrong"

[ShowOffENTERTAINMENT]

Thanks so much, my teacher makes me do math in the dark :(

[LuLaxFighters]

@ 2:39 can you add 8y?

[trainsaremylife25]

AHHHHH THANK YOU SO MUCH! i was stuck on the 3x-8y<16 problems because i thought you left the prblem alone after you turned it into y=mx+b form. THANK YOU!

[iKristina1980]

appreciate you!

[PINKTWEETY07]

im jus still confused on the shaded part

[louisadow]

thanks alot for making this video, im usually good in math, but I am struggling because of a bad teacher. This video really helped me.

[lovingComicfire7]

Thanks so much! I didn't understand the way my teacher explained it and now I get it! Thank you thank you thank you! :-)

[Msladyleatherneck]

do you have any videos that explain a bit about finding slopes for parallel lines and perpendicular?

[Msladyleatherneck]

thank you so much i finnally understood with your help what side is the one you shade... and your tutorials are easy to understand! you and your videos have been helping me understand math better and help me pass math tests!

[Scotty5728]

thanks for the help.. but I've been having problems with changing things into y intercept form.. How would I do that to x - y > 2 ?

[PhreshKartel]

THANKS MAN!! YOU REALLY EXPLAIN IT BETTER THAN MY TEACHER!! I WAS IN CLASS STUCK LIKE UHHH HUH LOL

[M1cullen]

Thank you! This helps me so much!!!

[urfictionfallacy]

what if there is no slope, just an x?

[Chaseman56]

OK, I'm confused, on my home work I have one, Y<.75X-5, So if you graph it then you shade below?

[metalmusic50]

thank you kind sir!

[mrhindo]

thanks... helped

[myscenario]

THANK YOU FOR MAKING THIS VIDEO! Because of you I got an A on my quiz! Thank you again :)

[n00ch1]

thanks man. i checked 10 other sites before clicking on this link and you were the only one to explain it right.

[seattleunited]

This is a pretty good video with various examples, thak you so much!

[bowwowdoggiebone]

thank you so much for teaching me this,my dumass teacher never taught my class anything.

[orsonzg]

i forget how to do this, for y>3/8x -2 why did you place 3/8 on the grid at (8,1)? Please tell me!!

[nene2emem]

this helps me a lot..

thanks hansen48066:D

[boogyandibi]

thank you so much this helped me alot!

[nightwishcannine619]

Holyshit man i was just bored and i had a test tomorow and i just checkced youtube if it had a video to solve it.

thanks a lot man

[tamim1505]

Thanks it helped me alot but what if you get y<1/8x + 1/6 how would you graph that?

[fine201]

man i wuz lyke freakin out! until i found dis site and learned how 2 do dis now im calm nd all READY 4 dat test 2maro i think......

[OzzyRocksYourSocks]

Wow this was extremely helpful,It really clarified the logic of graphing Inequalities :)

But I have a question,on the last problem when you divide everything by -8 what happens to the -3x??

I can see that on the bottom It became positive?

You don't solve for x? For example +16/-8 became -2 but what about -3x/-8?

[randi713]

Thanks for doing this! It helped me re-learn what I'd forgotten since high-school 15 years ago and help my step-daughter with her homework!

[icepoop20]

thank you so much, i did had a test about this, this vid helped me so much, i got such a high grade, that i got accepted into coral reef, the best high EVER!!!!!!!!!!!! THANK YOU!!! YOU SAVED MY LIFE!!!!!!!!!!!!!!!!!!!

[5secondz2run]

@malik36 DUDE i am your teacher watch it or ill make you do 5 hours of this math straight =Þ

[Jose1234678932]

thanks so much :D

my teacher makes it seem so compicated

[Freddy46754]

Thank you so much for the help! I forgot how to solve these after a week of no school, u saved me, thanks!

[daisybirdfly]

You just saved my life !

thanks sooo much.

make more !

haha.

[malik36]

thanks my teacher make tit look so hard

[xpenxhoundx]

Thank you very much, I am no longer worried.

[AllMixedUp312]

my math teacher tried to explain this to me for 90 minutes lol, i now have it in five. thanks!

[ZeronicDude]

thanks so much

[pri83ansi]

thank you so much! my teacher shows us the steps the longer way! it gets so confusing! D:

[JCEvids]

thanks my math teacher makes it confusing

[idonthavetherightnam]

mine too...lol. :)

[96solo]

I missed a week of school.....You saved my ass. Thnk you so much!!!

[BowlajelloT8]

saved me on my math test, thanks so much!

[sirrocky12]

helped a ton thanks a million

[juanybertha]

it helped a lot.......... thank you

[funisfun12321]

ur ten times better than my math teacher thanks

[pepperoni540]

ya same for me lol

[uhohstellajean]

Thhhhanks

[disconnecktiee]

Thanks!

[VentrellaAlex]

And they say YouTube is a waste of time.  This is > my textbook.

[nickyboi01]

you helped me so much i knew this stuff already but you made it sound so simple! thanks!

[chiquitoyou]

ohhh!!! thank you..man

[laMenor276]

omg so much better than my teacher.

[chiquitoyou]

thank you man but i think the (x < -4) is wrong right???? the graph /// we have to colored in the other side rigth or i m wrong// if im please tell me y.. please

[Hansen48066]

I am correct. You shade to the left

since values less than -4 include -5, -6, -7, etc.

They are all to the left!

[pupdoof2]

@Hansen48066 i think u r wrong on the coloring on the first problem becaue if y is greater shouldn't it be celored on dee right side.

[magusdch]

@chiquitoyou

It depends with application. If you are graphing numerous inequalities and you are trying to find their "intersection" then it is convenient to shade the opposite and what remains unshaded is the area of interest. What is needed is to understand why you are shading then you will not be confused by the shading or non-shading.

[NrBKidz]

Wow, this is sooo much more easier, holy shit mate, thanks sooo much!!!

My teacher is a bitch to the max.

[siblingXrivalry]

lol indeed, this guide is amazing :)!

[TheGhostOfSasquatch]

Thanks so much...I was sick so I missed that part of the lesson and now I get it!!!

[goalysgurl]

same here!

[glamx3545]

thanks.. this was really helpful my teacher talks and writes so damn fast and doesn't explain everything he does.. thank you!!! :)

[fencingguy123]

This video was a great refresher!! thanks!

[res1s940]

sweet thx. got a test tomorrow.

[TheSoheilak]

ur the best

[oxsideswipexo]

thanks so much. my teacher is a dipshit

[Deltavox1510]

Hahah, im in the same boat, well put

[sweetechocolat]

Haha, you godly teacher. Honestly, any mathamatical term is automatically shut off from my brain. I have such a hard time understand the concepts because I can't concentrate. Thank you for posting the video. However, what if the Y by itself is a negative? How do we change it into a positive?

[sean12348765]

by making everything else a negative...

[CrodAirJordan23]

ur amazing, my algebra 2 teacher talk too damn fast and u talk slow. thank u bro!

[CentennialAcademyblo]

THANK YOU SOO MUCH!

[hamspinkers1212]

thank u sooo much sir tht was amazingly helpfull. im taking algebra 2 next year and i really needed the refresher!! thanks again!

[sixamsedna]

who could've thought a 4 minute video can explain this better than a friggin book.

[aznSe7en07]

this helped me a lot before my summer math exam. i hope i pass! TTANKS

[yourpainismygain]

Thank you so so so, SO much.

[Something5802]

OMG I love you!!! I so get it now... All I needed help with was how to get the lines because I wasn't sure if it was the same as the equations but it is

[xoxnatalia12]

how are you supposed to know where to shade.??i can't get it!!!

[Hansen48066]

You shade the portion of the graph that makes the inequality true. If it's a greater than, you shade the values greater than (above) the points on the line. If it's less than, you shade all the values less than (lower) then the y-values that make up the line.

[TheDJ596]

@xoxnatalia12 ya i know it aint clear where to shade....

[rickve1]

This is one of the BEST videos ive seen on this,even my instructor doesnt go this far and He is very good and understanding, is so hard for me to understand,i went back to school after being out many years to get a degree.I never had algebra in high school,im old school,lol

[mscaledonia]

thank you SO much! ur videos are really really easy to understand and you help me so much with my math class! thanks again!

[CutebabyDestiney]

THNXz so freakin much!!!!!!! im homskoold n these crapy teachrs is worst then the crapy kids*they dont expect 2 do ish* mann they dont explain ish 2 u .......thnxs mannn keep doin these!!!!!!!

[gdmcraarciwwaf]

thank you! I was about to cry since I have to do a power point on this and totally forgot, now i get it

[dazde102sibling]

i have watched this i think 6 times already, and i still dont get a thing!!!!!!! ='( god i feel like a total retard........

[ameliahhhhhh]

do you understand regular graphing? It might help to watch a video on that first. You are not retarded ;)

[akondad]

can u be my teacher please.. i probably would get everything u said... THANK YOU SOOO MUCH!!

[angFERSURE22]

Wow , i learned more about how to graph inequalities from this then my math teacher. thank you SO much !

[Trigger9407]

You shoulda just said "if the equation was false you should shade the side of the line thats away from your test point"

[SuperNicky12345]

THANK YOU SO MUCH!!!!!! If my retarded teacher had explained it like this i woulda got it the first time! im in 8th grade and this crap was so confusing to me! I GET IT NOW!!

if it weren't for this video i probly woulda failed my quiz!!!!!

[platypusguy27]

haha my teacher 2 mr bernards a fuckin retard

[seonah1994]

THANK YOU!!!

[acely457]

omg thank you so much!!! my teachers a dumbass and cant explain this. i totally understand this now!!!

[bigmackpattywack123]

Thank you so much, im in eighth grade and i cant understand this concept. Now I do, thanks

[sjianette]

Thank you sooo much! I am back in college after being out of school for 20 years. Your explanation was so simple to understand! Can't thank you enough!

[richardrules14]

thank you bro i was so lost until this

[MiGJELLo]

this helped me tons !

[PsychedelicDrummer]

it was VERY helpful thanks a lot! :)

you make it look so easy and understandable =]

x

[Jimiog]

wow thank you so much..

my math teacher is a fat b**ch and doesnt know how to explain stuff

[LamborghiniChynaDoll]

thanks so much I'm struggling with math and this helped make it seem so much simpler than I make it. Thank you so very much!

[cilvento12]

thanks!!!!!!

[chicagodestiny1353]

what about problems like this:

3<X<+6 im completely

[snukka]

Wow

I needed that

Thank you soo much

[redmonkey711]

Thank you

[sawfan25]

Thanks i missed a week of school and this helps me so much

[jaden1592]

my teacher explains it in 50 minutes , you explain it in 4 minutes. bravo! thanks alot i have finals:)

[Fwazapple]

i dont get how to graph things like  15g+10s < 50

[Hansen48066]

Use alphabetical order. Think of the g as your x, and the s as your y-variable. Isolate s on one side of your inequality, and then use the method shown here to graph.

[Dodosareawesome]

I love you.

Thanks alot.

[tengoquecagar2]

how do you graph this Y > X - 2

if there is no slope at all and it's also what my worksheet says and there is no place else that says slope

[Hansen48066]

Yes, there is a slope. The (hidden) coefficient in front of the X is 1. That is, a slope of 1/1

[JaclynNguyen]

thank you so much! i had homework on this and i was so confused. i fell asleep during class so i had no idea on how to do it. thanks a lot.

[2meanings]

what if the slope is negative?

Do you go down?

[Hansen48066]

If the slope is negative, the line will be falling from left to right. If it's a greater than, you shade above the y-values of the line. If it's a less than, you shade below all the y-values of the line. So, in the end, I don't really consider the slope affecting how you shade.

[HstarR18]

hey man. thanks so much for the vids. helped me a lot. =]

[1Venus21]

Thanks. I understand it better.

[redvexx]

I got it now thanks.

[atomicdollar123]

You explained it better than my math teacher did in three classes. YOU made it simple. It so easy now!!! Thank you

[SKiTTLEME689]

thank you so much i have a quiz on this tomorow and my teacher can not teach what so ever.you may have saved my grade!

[nina1586]

Thank you!

[laurniedoll]

Thanks! This saved my hide.

[twilightfan531]

thank you so much!

[hammyboobs]

the shading part trips me out

what side do i shade

[Hansen48066]

Values that are "greater than" are above the line. Shade above. Values that are "less than" are below the line. Shade below.

[thoushaltbepwnt]

ALL HAIL this guy he helped me sooo much

[Zimologist]

This was so helpful!

Thankyou.

[upload]

you teach this kind of math better than teachers and tutorials on youtube, thanks Mr.Hansen!!!

[evopowerboard]

dude u are my new best friend

not even freaking joking

[evopowerboard]

ahh man thanks ALOT!

i have a E in math right now and we have a test tommarow with 4 days left of school.  Thanks to u man i might just b able to enjoy my summer

[Superfire400]

thank you i understand now.

[p849]

thanks

[lordace777]

SNAP! I finally get this stuff, I hope you make more videos.

[smitty268]

thank you so much i will watch all of your math videos for my class

[smitty268]

i also search everywhere for help but...

[smitty268]

my teacher doesn't exsplian crap shes is terrible i learned more from u in 4.18 min than i learn in a whole dahm year.

[chrisofbirmz2k8]

same here...my maths teacher is crap cant even teach properly

[KalOnado]

Sweetness! I wish I had you for my teacher! I live in Utah. I have been struggling with math since 3rd grade, and it has really attacked my confidence. I am always googling everywhere on the internet for help, but I rarely find what I need. I finally found you for the first time. I am now going to look to you for more. All hale Hansen!!!

[Hansen48066]

you're all very welcome. I wish I had more time and energy to post more helpful videos.

[dbm888]

nice videos. you really helped me out. thanks!

[Fiorucci79]

Thanks Mr. Hansen, this made more sense than all the last classes combined. I really appreciate the help! Thanks!

[derox16]

thanks soo much now i get it :):):)

[zxxmarioparodyxx]

i gotta tell my friends about this...

 BE PROUD HANSEN!

[mogeymo]

ZOMFG!

Thanks SOOOOOO much!

Its all makes sence now!

[leborocker91]

I have a midterm for my math class tomorrow, and this really helped me.

Thanks a lot!

Now I just have to figure out linear programming...

[Megaclaw2]

...................... I'm in college taking math 115, and I have to say. Why the hell couldn't my teacher make it that simple!?

[callyismehero]

THANKS SOOOOOOO MUCH!!!! I HAVE A MAJOR TEST TOMORROW AND I WAS CONFUSED!!!!! I appriciate it! Keep posting! I'm in 8th grade, taking algebra 1 as a highschool credit, stuff seems to make since in class but then i go home to do homework, and mess up on a couple problems.. but then it all adds up when it comes to studying for tests! thanks! hopefully i'll ace the test!

[alfkhi]

thank you so much! i think i understand it now

[sheetal96]

THANK U!!!

[Junkie2]

Thanks, I just taught my girlfriend this same stuff and forced her to watch this video. I think it helped her. I thought it was great. A+

[Hansen48066]

Glad you liked it!

[wakeboard023]

...

[Hansen48066]

You're very welcome! My students enjoy these, too.

[jwade1213]

You're my new hero. On Sunday night when I sat down to do my algebra homework, I had no idea what I was doing. It hadn't mad sense in class and the text book didn't do any good, so I found this video on YouTube and it made all the difference. Now my grade is higher in Algebra and I owe it all to the maker of this video. Thanks so much.