Absolute Value Inequalities - How To Solve It
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- Опубліковано 5 лют 2025
- This math video tutorial explains how to solve absolute value inequalities.
Algebra - Free Formula Sheets: bit.ly/3CBeZMY
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Algebra - Free Formula Sheets: bit.ly/3CBeZMY
Absolute Value Equations: www.video-tutor.net/absolute-value-equations.html
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MR. Organic Chemistry Tutor, thank you for another fantastic video/lecture on Absolute Value Inequalities- How to solve it in Algebra. This topic can be problematic with the greater than and less than signs, when solving these problems in Algebra.
I feel bad for my teacher as she is an amazing algebra teacher but I learned more about Absolute value inequalities in this one video than I did in her class.
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7:33 he should’ve also talked about negative numbers, where those don’t work either while in an absolute value.
Negative numbers only work if they’re on the outside multiplying the absolute value. Then you can have the expression be less than -3
This man explains everything perfectly
Thank you so much! :) I didn't know there brilliant tips like the ones that you shared in your video.
1:10 , I was always told with inequalities that you must switch the sign on an inequality when multiplying/dividing anything on the right side. Can someone explain why you don’t do this here?
you must switch the sign only if the thing you multiply divide is negative. Eg, 4>2. Divide b/s by 2, => 2>1, which is correct. Now take it again, 4>2, this time divide by -2, => -2>-1, which is false, hence you switch the sign.
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@@zayan5128will it be the same with a variable?
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in the example of 8:17 if we put x=-1 what we get is -7>-4 so i think it doesn't include negative infinity, right?
I was really confused on that as well, however I figured it out! What is the absolute value of -7? It's going to be positive 7 correct? And in that case, positive 7 is greater than -4. Remember, absolute value is always going to be the distance from 0. So you can plug in any number on the positive/negative scale and you'll get a positive answer. If we say x=-100, you'd get -403. What's the absolute value of -403? It's going to be positive 403! Not sure if you were still stuck on this or not, but I hope this clarifies. This a great question, maybe he can add a little note to the video to explain that part. I think he just assumed people would understand.
the absolute value of -7 is positive 7
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it would be great if you could explain why we're considering the 'or' and 'and' situation
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This video heped me a lot in my revision
Problem |3x+5| < -3 can be solved and show a contradiction, x>-8/3 and x < -8/3, this may better explained that the usual solving of the inequality lead you to No solution! Just a though. GOOD JOB
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9:33 I thought that for every ‘greater than’ inequality sign, the answers has to include OR, but it wasn’t included here.
I know the reason why it wasn’t included but still it felt odd he didn’t discuss it in the beginning that not every expression is going to need OR, AND, for every answer to compare to.
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