Absolute value inequalities | Linear equations | Algebra I | Khan Academy
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- Опубліковано 5 жов 2024
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Absolute Value Inequalities
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Algebra I on Khan Academy: Algebra is the language through which we describe patterns. Think of it as a shorthand, of sorts. As opposed to having to do something over and over again, algebra gives you a simple way to express that repetitive process. It's also seen as a "gatekeeper" subject. Once you achieve an understanding of algebra, the higher-level math subjects become accessible to you. Without it, it's impossible to move forward. It's used by people with lots of different jobs, like carpentry, engineering, and fashion design. In these tutorials, we'll cover a lot of ground. Some of the topics include linear equations, linear inequalities, linear functions, systems of equations, factoring expressions, quadratic expressions, exponents, functions, and ratios.
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I studied my entire HIGH SCHOOL mathematics from Khan Academy.
Khan Academy you are like an Angel in the Storm.
:) :)
:) :)
:) :)
:)
:)
do you have a family yet
2:59
"You shouldn't be memorising any rules."
That's a very good point - it is almost always better to develop a real intuition for things.
Thanks to you, I don't need to memorize the formula, because I actually UNDERSTAND what it means. Sal, thanks for all you do. We really appreciate it.
Ryan Smith I
what formula.
@@RichMiniön-r2m He means memorize rules for inequalities. It's easier to imagine (or draw) a number line representing an equation than it is to memorize rules. If you can imagine the number line, the solutions are intuitive.
@@jprevard cap, num lines take too long
@@RichMiniön-r2m You don't have to write all the numbers, just do it exactly like in the video.
Mr. Khan, it's selfless and compassionate people like you who should run the world. Thank you for all that you do!
How are you doing now?
@user-eu3xh3zg2k Bruh
@user-eu3xh3zg2kyou kids act like 12 years ago was a very long time ago
Here’s an inequality:
1 Khan Academy video > 1 week of Algebra
Fr
Brian mclogan and organic chemistry teacher are better. Sal khan is a cringey harvard fetishist. Harvard people are never helpful at anything, and not because of esoteric scholarship but from actually being porous at explaining things. Khan-man’s an idiot
Forget textbooks, carry khan academy
+M K YADAV Heck yeah!
I agree u bro
khan academy carries* 😏
rose
Khfeqadguufuku
12 years later and this is still the best math course out there-
13
I love how you explain things. You've helped me so much, I can only imagine the massive impact you've had in educating the world. Thank you Sal!
greatOR-----less thAND.......this helps.
do you by any chance go to kraemer and have ms. erskine...
Ashley Hong yes
Tycoon Bachra same...
hahaha i was just kidding i thought your comment was funny…you know asking someone on the internet if they are in your class...
i actually don't have any clue on who mrs.erskine is...
Oh okay lol well idk she uses tht method wait youre not even the one who made this comment...
im literally so lost right now im gonna fail my test tomorrow R.I.P.
Aloe Vera did u fail
Ajapa Saha she probably dead tbh
me too but like not 2 years ago my test tmrw
It is soooo easy if you CHEAT🤫🤫🤫
@@Petcowhore did you do well?
No textbook or video explains this better than you do, Khan!
We all appreciate the hard work that you put into your videos because without you some of us would be lost.
Khan, you are such a wonderful person!
Omg I've gone my whole life without understanding absolute value correctly. I'm studying for the GRE and was really struggling with these problems. Great video!
I'm studying for the GMAT. Did Khan academy help?
@@ericb8217Did Khan Academy help?
by 5 min of your video i understood more than my teacher's hour and half lecture
I always look for your tutorials first! you break it down into steps that are very simplistic. Thats how my mind needs to see it in order to do it on my own. I wanna know WHY we do something, and you tell that. Thanks so much!! Life saver for sure! ;-)
11yr ago?!
11 years huh, how are you doing now?
.
Genuinely curious where this person is and how they are doing 12 years later
The best part of khans video is that he doesn't just want you to memorize it he actually wants you to understand what he's talkin about. My teachers should learn from you.Keep Up the great work khan!!!!!!
Using intuition and thinking about the number line is great. I've been reviewing super old stuff but a textbook just had one memorize steps for each type of inequality without really explaining why you do things. With intuition I'll never forget how it works.
thank you so much, this video really cleared up my confusion. you explained things so clearly
Lol I have finals tomorrow and I completely forgot how to do this
Larry Stylinson oh lel me too
How were people having finals in December? I'm having my midterms now, and it's the middle of January.
Melody Liu I'm having midterms in two weeks as well, but I posted this comment on June 7th last year. At that time I was having finals. Btw that final was hard and none of this was even on it. I totally failed, but I think he curved it so I ended up getting a B :(.
lol
math exam tomorrow, and u taught this so well that after the first number line i could do the most complicated absolute values. Thanks man
My tomorrow
@@sweksha5479 mines in a hour
TYSM!!! My teacher is pregnant so she can't teach us fully, these videos really help me to study before and just get my clarification for her. You are a lifesaver :)
I have a massive algebra test tomorrow and I am rewatching these vids to help prepare. This really clarifies everything for me
Because of the definition of absolute value, the less sign means that a less absolute value set extends from 0 to a real number on one side of the number and from 0 to another real number on the other side, creating a spectrum of sorts. However, the plus sign signifies that the absolute value in question extends from a real number to positive infinity on one side of the line and from another real number to negative infinity on the other side, creating two separate spectrums. Make sense?
bro I'm already a sophomore and I still didn't know how to solve absolute value inequalities. thank you so much this really helped a lot. I literally forgot everything I learned in middle school and my freshman year
when u have finals tomorrow so u gotta remember everything u learned the entire semester
but did you pass 4 years later???
@@chickentendies6836 no
This is amazing, this just saved my grade for this unit!!!
Thanks for creating these! You make it easy to understand and you have a great speaking voice!
Upvote if you're studying for finals
Ben Wiley when the Reddit makes you forget how other apps work 🤣
Lol I cry
me too ;-;
ehh more to not to be kicked out of class this is hard.
nope a test
I can't believe this was 10 yrs ago
There are like 3 people on youtube that teach me everything math. You are one of these people and I thank you.
Omg I wish all school teachers taught like this. Sal makes everything easier. I love him.
hey if you could please, what are you using for the note writing??? it would help greatly with math
i'm almost sure he's using photoshop and just zooming in
Camtasia Recorder ($200) + SmoothDraw3(Free) + a Wacom Bamboo Tablet ($80) on a PC. He previously used ScreenVideoRecorder($20) and Microsoft Paint (Free).
Source: qr.ae/RoQmZ5
look guys:
absolute < # } and
value
absolute > # } or
value
hope you all understand!! love ya
I think this is the best video ever on ABSOLUTE INEQUALITIES.
Thank you, man, you've taught me thing I had never could understand
So eloquent and makes concepts so easy to understand. Thank you Mr Khan.
Thanks! My son was failing his math, and now.. he ain’t a disappointment!
the way that you explained this made things so clear to me . drawing out the line to visualize was so helpful .thank you very much for taking the time to make this video!
These videos help so much with sat questions! I prefer these videos over the sat specific ones! These help with content wholes in my prep work! Very helpful!!
Why are you on every single math video
This is so awesome-thank you! this is a million times better than your own teacher because you can play this video over and over as many times as you need and you can pause the video, etc. - you can't pause a teacher
As always, amazing job. Really helps.
Thank You
@Jess07496 "and" is when the sign is "less than" "or" is used when the sign is "more than" - it is like this because when it is "less than" the line you make on the number line is connected because it includes solutions from the negetive side AND the positive side. But when it is "more than" the line is NOT continous and the solution is either from the negetive side OR the positive side. Sorry if it seems confusing...tried my best to explain.
since you have to multiply both sides by 7, the 7 gets distributed to all terms. Terms are separated by a + or - sign.
For example: if x + y = z, then you have to multiply all terms by a constant to keep the equation true: ax + ay = az. it is like saying a(x + y) = a(z), where the a has to be distributed.
same is true with x-y=z --> ax-ay=az.
same is also true with x+y>z (inequalities) if a is positive.
in this case the constant, a, is 7 in the video.
hope that makes sense!
I’m doing this in the beginning of eight grade all you high school nerds
lunacus5 Algrebra 1? I’m doing it right now and I’m just going over it to make sure I understand
Understood more in 13 minutes than what my math teacher tried to explain in 2 hours. It's all about getting a different perspective on something people! That's how genius' think. If you don't understand something, look at it from a different perspective or find someone to explain it to you from a different perspective.
You're an awesome educator! thank you!!
Greater Or = GO
Less than And = LA
GO LA!
wow. this is so easy after watching the first 1 minute. thanks!
Thank You So Much!!!!! I have a text on this on Monday and I finally understand this
This has helped me so much THANK YOU
Thanks you helped me remember
Khan academy always clears my doubt. It shows me reasons and how things are but my teacher just teaches the rules only.
Man tomorrow I have an exam and u helped me so much really thank you ur the best ❤❤❤
wow! i actually understand this, visualizing it with the number line really helped
exponential functions with Absolute Value Inequalities are really tricky and deserve their own video.
for example, try solving |x^2-9|>7
not as easy as it seems, I guarentee...
If you are drawing with a mouse, I am amazed at the neatness!
He is im pretty sure
thank you, thank you, thank you, thank you!!! i am taking an online summer math class and it never makes any sense till i watch and listen to you solve the problem!!! thank you!!! :D
thank you for explaining in effective reasoning the absolute value concept
Its ironic that if school teachers were good and explained the topic good this channel wouldn't be as popular or even exist.
I was looking for a video with explanations and not memorizations. Thank you so much!
I have a midterm exam next week, and this video I want to thank you
I'm still confused
me too
Mr. Rogers he made things extra clear other tutorials on youtube suck they just give you shit to memorize
ultimate pirate true
Isaac Kim no
So am I. You know why? BECAUSE THERE ARE NO RULES! it just changes whenever based on how you feel
You know he's right to some extent. Though it's not modulus "Function" it's modulus operation (when talking about the operation) and just modulus (if we're talking about the result). Although absolute value is also true the internationally accepted term is modulus.
i can’t understand my teachers teaching but this video actually made me get the hang of it
this was super helpful im in algebra 2 and we are learning this and it made no sense with the teacher but now it makes so much more sense thank you
you saved me from my algebra class thankyou
Thank you so much, your explanation was easy to understand. Thxxxx!
thank you SO MUCH guys!!! now i understand the thing about and/or
Thanks for the clarification Sal! Now I understand why the intervals point where!
brilliant explanation. yet another video that proves why khan academy is so effective.
You saved my butt sir, I didn't have a clear grasp on absolute value and inequalities and absolute value earlier in class today, but now it is crystal clear (well, almost)!
U r more british than british
helpful video. thank u.
what about quadratic absolute value inequalities???????
thats for advanced algebra this video is for 7-9 grade regular algebra
Aakash Vashishtha
English pleas 👌🏼
Alexia Rulez that’s fine English actually. You obviously can’t read it right.
@@alexiarulez7452
Spelling please 👌🏻
@KhanMC The Cuber Grammar, please! 👌🏻
lulz
homestudying a levels and khan became my math bff XD
Thank you so much!!!! I have an exam tomorrow with this on it!
030916
Final exams tomorrow. Hope this'll help me.
Thank you Khan Academy :D
Thank you was having a little trouble with this.
Its 2023 and still Thank you Khan
Very well explained, guys if you don't get this first study the concept of graphical solutions of inequality and intervals then u will surely understand this
What is the mathematical rationale for why > results in "or" and < results in "and". It makes sense, but just trying to understand it from a mathematical perspective.
THANK YOU Sal !!! even after years of you're videos being on here its Helped me understand Absolute value inequalities !!! thank you SO Much 😁😃
i wish your were my teacher
Ive always just memorised formulas. Understanding whats happening here has made it easier for me to solve them by just looking at the equation, because I understand what is happening
didn't understand my class on this but didn't sweat it bc I knew I was gonna come here and boy did you deliver!
I think a better way of doing |5x+3| < 7 would be to write it in the equivalent form -7 < 5x+3 < 7, and then proceed from that.
@imwithdumbhead The sign changes only when you are multiplying or dividing with a negative number if I am correct
I want to thank you for everything you do, our teacher got fairly sick and hasn't been able to teach us for about 3 weeks now and you're the olny person that's keeping my grades afloat.
I know this video is old, but still, thank you sincerely.
Wow. All through high school and now in university. I finally understand what absolute value means.
Studying three hours before my Algebra two test. This guy is a godsend.
thank u ive been struggling and you have helped me alot
I'm ready for my test now
Thank You for clearing out doubts all the time
sal khan is a beast
In class we went over this for two weeks and never understood it until I watched this video and finally got the hang of it
الفيديو درته قبل 11سنه وفي ناس الي2021تشاهد فيه ❤️❤️❤️شكرا علي مجهوداتك الرائعه
I got a Math Mid-Term today so thanks.
First 9th grade then 10th and now current 11th.. text books changed ..teachers changed..school changed ..but sal is still there ..thanks a lot..
Thank you a lot ,I could understand everything as the way you teach is excellent.
The way you explained it so clearly makes me wanna cry 😭😭
awesome teaching
I'm confused.. if |5x+3|