Learn how to solve absolute value inequalites by creating compound inequalities

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👉 Learn how to solve multi-step absolute value inequalities. The absolute value of a number is the positive value of the number. For instance, the absolute value of 2 is 2 and the absolute value of -2 is also 2. To solve an absolute value inequality where there are more terms apart from the absolute value term in the same side of the inequality sign as the absolute value term, we first isolate the absolute value term. i.e. make the absolute value term the subject of the formula.
After isolating the absolute value term, we then create the two cases of absolute value problems: the positive case and the positive case. For the negative case, we flip the inequality sign. This results in a compound inequality which we then solve accordingly and graph our solution on a number line.
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Опубликовано:

7 сен 2024

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Комментарии : 207

@chrisbanas9118 4 года назад

Dudes on his phone?? Id give up my phone for years to have this man as my math teacher

@BepTweBot 4 года назад

Chris Banas flipping same

@pilot4910 4 года назад

LOL he'd be the same kid claiming the teacher didnt teach well

@sunzalea3257 3 года назад

lets put this in perspective now

@dazzlingforests1373 3 года назад

Ugh fr mine can’t even teach

@chrisbanas9118 3 года назад

@Colton Sergio okay clown

@dylanward4512 5 лет назад

That dude got hella markers

@lavenderbex 4 года назад

i notice as his videos go throughout the years he gains more and more markers now he got like every single color lol you can see his 2012 vids he got like 5 now he got like 30

@vay5540 4 года назад

He’s building an army

@Vegetable789 3 года назад

Damnnn

@novembertheduck3575 3 года назад

math teacher moment

@MrMsMe77 6 лет назад

It's helpful when students ask questions because sometimes I feel a little bit confused. Math isn't my strength but you teach it very well. I enjoy the setting of the video. Thanks for teaching me math!

@brianmclogan 6 лет назад

you are very welcome! live class interaction

@alch8485 Год назад

@randomthings6255 that's so cool dude

@jeeeducational5623 7 месяцев назад

come to india , we learn these when we are 8 yrs old . not even kidding

@maddRido 3 месяца назад

@@brianmcloganMan you do RU-vidrs asking video session live please I am failing math

@bcw1505 12 дней назад

2:47

@raymaldonado161 3 года назад

I would give up my phone for a year to have this guy as my personal math tutor, he seems like the best teacher ever.

@Milotote1 4 года назад

Can u teach my teacher how to teach?

@dazzlingforests1373 3 года назад

YES

@cashcollectionn 4 года назад

Why did I learn more in this 10 minute video then what I've learned in my last 3 Algebra 2 classes? lmfao I hate school

@andersferrell5080 4 года назад

facts bro

@dazzlingforests1373 3 года назад

lollll same

@fareselkholy6208 6 лет назад

teacher your sooo helpful im in grd 7 and i got 98% in math just by watching your videos. im happy that i found a guy like u in youtube. I think your the best online teacher EVER. Bottom line, THANK YOU. :)

@brianmclogan 6 лет назад

you are very welcome Fares! happy to be able to help you out!

@killeralexio 5 лет назад

how the hell are u doing Alg 2 in 7th grade?

@elijahsichitalwe5410 5 лет назад

U are great

@princemorris7749 5 лет назад

Your teaching is awesome and helpful, thanks alway.

@dosonfns 5 лет назад

In my school it’s algebra 1 and 7th graders that are in the double advanced can be in it and I’m in 8th and I’m advance and I’m in it

@hallegarcia8256 6 лет назад

taking an online algebra class and your videos are a lifesaver

@brianmclogan 6 лет назад

happy to be there for you.

@kristinalynn7286 4 года назад

Finally someone who is thorough instead of teaching basics over and over again

@hottestfuzz7723 3 года назад

Be my 8th grade advanced math teacher. You do the best job I've ever seen. The only way I'm going to pass my test is through you. Your videos always help and even 6 years later your still making my life easier. THANKS!!!!!

@Luhtwixzy 4 года назад

Saved my life I am so bad at absolute values and this really just helped me prepare for my test tomorrow, ur awesome bro

@underthehood6206 Год назад

I know you probably won't see this but this video helped me so much. I was so stressed about solving absolute value inequalities until I found this video and it makes sense.

@marieedward7941 4 года назад

I have a Unit 2 test and not trying to hate but my teacher didn't teach us anything about absolute Values so THANK YOU SO MUCH!!

@marisalewellen3134 5 лет назад

I am taking algebra 1 this year as a freshman and your videos are really helpful.

@killeralexio 5 лет назад

lol im taking Alg 2 as a freshman

@Yoh_Mama 5 лет назад

Am taking algebra 1 thousand in 26 grade

@stxclout3247 5 лет назад

Alexio who gives a shit

@higuys4897 4 года назад

Bro I’m taking it in 7th grade😭

@lucc6619 7 месяцев назад

You know this is so much better than watching my grade 12 teacher sit in the back of the class on an overhead projector go through the problem in a monotone voice. Saying you should just understand what's going on.

@FireLordJD 4 года назад

You rock! You've helped me pass a lot of my tests in college. Thank you!

@enchantedodin9484 3 года назад

Lmao college? This is my beginning of the year 9th grade math

@FireLordJD 3 года назад

@@enchantedodin9484 bro I'm an English major lmao

@textrizz1 11 месяцев назад

@@enchantedodin9484 i’m doing this in 8th bru

@fireball0762 4 года назад

i don't know if you read these things, but i'm a substitute with a bunch of areas on the teaching license. I want to add high school math, and if i can teach half as good as yourself i think the students would come alive for math. In minutes i learned things that some of them take weeks to comprehend. (but i'm a geek that way). All teachers should be like you. I'm assuming you are high school? I know it is also what the community college calls precalculus algebra (I used to teach English in Comm at the local one in my area, but i like teaching high school more)

@user-pb9hv8dw2p 4 года назад

I just realized how many markers he has dang he stocking up

@mcp0y3 3 года назад

Thank you for taking the time to teach this. Your videos have helped my son tremendously.

@MikeMike-yc8gg 4 года назад

5:09 , 5:54 -- big difference when setting our " two cases " ('05 important thing to remember when "graphing an "AND" 9:34 graphing our answers

@nokuzka 3 дня назад

turns out I never learned that we write or if it's >, and this was the problem. I already knew everything THOROUGHLY, but I didn't know that I was supposed to look for a union instead of an intersection 😭😭 thank you, this is the first video where I saw this covered

@viacheslavsavateev6522 4 года назад

3:16 So you don't have a question? - That's not a question...

@THEORD3REMP1RE 4 года назад

Bruh why did he erase it ._______________________________.

@zomb7138 5 лет назад

bro, why do I need a teacher when I have you

@rejectionz1517 5 лет назад

Zomb lmao but you can’t ask him questions

@zomb7138 4 года назад

I don’t need to ask questions

@Milotote1 4 года назад

Zomb 😂😂

@morgano4555 6 лет назад

"the distance KAYLEE from 3" XD

@brianmclogan 6 лет назад

😀

@ritesha8050 5 лет назад

in my class pupils ask such questions to make fun of teacher. 3:11

@berserkexe 4 года назад

This videos still help me to this days. Thank you so much.

@jamesh1169 3 года назад

Thank you, i was struggling so hard with this and you explained it perfectly.

@katarinaismia 4 года назад

dudes got a good ass teacher and be on their phone during class

@josefinaarnold6583 3 года назад

Thank you! This was perfect for helping me remember math from years ago to help my high schooler.

@4pd4stantone 5 лет назад

Just take his phone away please

@silverdandelions1908 3 года назад

thanks for teaching me when my teacher cant. your videos really help me. keep up doing the good work.

@greggyyyy 3 года назад

I wish my teachers could explain like this

@morganb5239 3 года назад

thank god for this man when we’re home learning and our math teachers are too old to know how to do this

@richneal4 3 года назад

Thanks for helping me with my virtual learning it really helps

@auguststas7770 Год назад

I wish I had that kind of teacher

@Spencii1 3 года назад

learned more in 1 minute than my teacher taught us in a whole hour

@irc- 6 лет назад

Thanks for the help!!

@brianmclogan 6 лет назад

you are very welcome!

@davidhuynh3393 2 года назад

Oh man, been burying my head in the sand, but it was phenomenal that you could prove to me the difference o\ abs. Value & inequalities. 👏🏻

@jenniferrebollar7369 Год назад

What a goat!!!! thank you for helping me pass my college math courses!

@hqs9585 9 месяцев назад

perhaps a better way to explain the sign is as follows: |2Z+5| < 2, which also can be written as |-(2Z+2)| < 2; the second expression lead to -(2Z+5) < 2 which can leads to 2Z+5 > -2 (inequality multiply by a negative factor reverses the sign. That is it!

@kristenbistrican2750 2 года назад

Like if you’re here because most math instructors have trouble understanding that most students in a lower level math class in college are the students who have/had math anxiety and didn’t perform well in high school math classes and that students who do have math anxiety tend to also have interpersonal anxiety and feel like they cannot stop a class to tell a teacher to slow down or go back out of fear of looking stupid so you end up lost during lecture. So you go to RU-vid to watch videos to understand better and at your own pace. Heyyyy eyyyyyy

@SaritaKumari-iz6tr 3 года назад

Thanks Brain

@pranavi1949 3 года назад

When you hear people coughing and no one thinks of corona

@nuno6203 3 года назад

better than my teacher she just puts up the work and a video that isn't her explaining how to do it but hey that's how I found you

@davidarechiga1233 Год назад

So much less anxiety after watching this!

@kayannhamilton5434 4 года назад

You're a great teacher!

@C3yl0 4 года назад

Beautiful explained! Thanks ❤️

@bradydion345 3 года назад

I LOVE THIS GUY HES SAVING MY GRADE

@frenkyb123 4 года назад

Very good explanation, sir. Thanks a lot.

@zarartss Год назад

man I rlly wish u were my algebra teacher, I mean at least I have this yt account to go to whenever i'm confused 😭 thank you so much

@mou712 2 года назад

I'm a new subscriber from Algeria

@Dharmarajan-ct5ld 3 года назад

Dear Brianmclogan, if you see modulus as distance and use number line you could have done in 1/4th time, space and labour. It would have been more elementary. Kindly consider

@theesunnlightt2268 4 года назад

Thanks Brian... you are awesome. I really appreciate it.

@cohessiveorder6679 2 года назад

My professor is just over complicating these things. Thank YOU!

@brianmclogan 2 года назад

You are very welcome!!

@faysalarab 5 лет назад

Thank you now I understand inequalities with absolute value.

@urmomcantcook 4 года назад

what happens if I have a inequality and at the front of the problem I have 3 + 5 l2x + 3l = 12, would I combine those two terms, or would I subtract 5 and then divide by three

@nx_mo258 2 года назад

I think its add the like terms first nd then divide 8 by both sides

@linusbao8650 5 лет назад

I'm a lil confused about the "and/or" thing, isn't that very dependent on which side you happen to choose to write the variable on. For example, using the vid's inequality: A) 3|2x+5|+22 inequality A and inequality B are the same thing, but according to this vid the top inequality would be "and" while the bottom one would be "or". What am I doing wrong?

@linusbao8650 5 лет назад

oh, is it the inequality sign of the isolated absolute value form of the inequality that determines if it's "and" or "or"? That would make sense if so.

@crytonsinyangwe4739 4 года назад

Thanks for your great explanation am really humbled 🙏

@langelihlezwane8121 2 года назад

Great lesson sir, significantly helpful . Also astonished at the fact that you were part of J.A .

@darshpatel9756 4 года назад

lol these videos are gold during virual learning thank you so much

@joshuajeremiahjr3331 Год назад

You sir are awesome, I learn so much

@zman9315 5 лет назад

Why did you switch the inequality sign at the end for both equations before graphing? And when do I need to do this.

@brianmclogan 5 лет назад

any time you have an "and" inequality

@asecondaday1138 5 лет назад

@@brianmclogan so, you don't flip the sign for an "or" inequality?

@killeralexio 5 лет назад

he switched it because like he said, (example) |2x-3|

@sampanicker4725 4 года назад

Very helpful video. From India

@MC_DOOM44 4 дня назад

I wish i had you for my algebra teacher my algebra ap teacher be on crack when hes explaining the lesson

@midwestrailroadproductions8116 5 лет назад

Where do you teach high school math, Mr. McLogan?

@brianmclogan 5 лет назад

Jacksonville Florida

@user-kx1ng1pk8m 3 года назад

Thx

@JEEwithME 2 года назад

Thankyou so so much

@imathcambo1012 Год назад

Good Job Sir, Thanks!!

@japhethmulig7919 3 года назад

Excuse me sir what if both sides of the iniquity is an absolute value? What should I do?

@rosaliakasolo2315 3 года назад

I think..... his very bright t-shirt makes everything easy. OMG, he is damn good.

@simontodorovic287 4 года назад

First of all ladies and gentlemen - Brian Mclogan Welcome ladies and gentleman - Brian Mclogan Ladies and gentleman listen carefully - Brian Mclogan Before we proceed, ladies and gentleman - Brian Mclogan So do you have any questions ladies and gentlemen? - Brian Mclogan :D

@ioannaathineos5269 5 лет назад

Amazing. Best teacher.

@rigriggerson4949 3 года назад

Would the interval notation be [-3.5,-1.5]?

@superwomanshellyelz6523 4 года назад

Lol “that’s a zeee OMG 🙄”.

@matthewobwoya1032 2 года назад

Thanks

@georgedyer5979 5 лет назад

I love you. You have helped immensely.

@hangfire5005 5 лет назад

Really good explanations here!

@AlexCarsToys 5 лет назад

you are a legend!

@ammarfawwaz8976 5 лет назад

Quick/fast solve here 3|2x+5|+2

@evangelistadante6643 5 лет назад

You are so helpful

@sherwinlogan3939 3 года назад

Well done!

@uhmitssami8122 4 года назад

My math teacher is sending us your videos for online classes 😂

@urmomcantcook 4 года назад

that's a whole mood

@AnonymousTaco3472 5 лет назад

This was really helpful

@amairivas6310 4 года назад

Is it me, or he sounds a lot like Nick from New Girl??? :o

@stupidcakeboy 5 лет назад

im confused it says junior achievement but the students sound like adults.

@---lq7id 5 лет назад

stupidcakeboy ?? The students sound like normal high school kids. And also i dont think his shirt and the class he teaches correlate

@lukevinson335 3 года назад

No they dont

@vincent2826 2 года назад

Great video it helped I'm assuming the 2 numbers can also go the opposite direction on other equations

@yamro1180 3 года назад

I think we have to do case1 and case 2 Mr

@BenjaminMScott 3 года назад

What the number on the right side of the inequality is negative

@brianmclogan 3 года назад

same process

@BenjaminMScott 3 года назад

@@brianmclogan thank you so much

@calebweissraaberg2813 5 лет назад

Man you are done lol.

@aashitAgrawal 6 лет назад

can you please give me the link of you solving absolute value inequalities containing quadratic equations. please.. love you teaching way.💗

@brianmclogan 6 лет назад

ahhh I do not have any of those, just remember to set up two cases when the abs is isolated, if you take the square root remember to flip the inequality sign for the negative case

@aashitAgrawal 6 лет назад

Oh!.... Thanks I got it how to solve...thanks you so much.......Man I wish you were my maths teacher♥

@brianmclogan 6 лет назад

happy to help you out! keep up the hard work Asshit

@Josh-xo8wd 5 лет назад

@@brianmclogan Uhhhhhhh. It's not "Asshit", but "Aashit"... 😂

@euph0rya672 4 года назад

Brian McLogan assshit

@AvatarRoku999 3 года назад

I wonder why someone hasn't squared up with this dude he seems really condescending to his students

@desireeperez362 3 года назад

They student was on his phone, I would of kicked him out and had his phone taken up

@estherliu351 5 лет назад

10:14 shouldn't it be closed, not open? I got really confused for a sec there.

@Yoh_Mama 5 лет назад

Damit senon get off ur phone

@Vegetable789 3 года назад

Instructions unclear, made my grandma a horse.

@brianmclogan 3 года назад

Dang

@BepTweBot 4 года назад

wow

@k_thai_edits 3 года назад

There exists a shortcut also...U can have done square to both sides of the ineq since both sides of ineq contains the positive stuff, which would ultimately help us in eliminating mod.....BTW I ASSUMED THE Z AS A COMPLEX NO AND TRIED TO SOLVE THIS Q'S BY FINDING LOCUS 😂 AT MY FIRST INSTANCE..... 🙏😎🙏