Absolute Value Inequalities - How To Solve It

[@TheOrganicChemistryTutor]

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.

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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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[@antonysameh1321]

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?

[@bipitybop]

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.

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