SOLUTION: How would I go about solving a problem like this? -4<(2x-3/3)<4?

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Question 554045: How would I go about solving a problem like this? -4<(2x-3/3)<4?
Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
Start by clearing the fraction by multiplying each of the 3 parts of the inequality by 3.

3%2A%28-4%29+%3C+3%2A%28%282x-3%29%2F3%29%3C3%2A4
-12%3C%282x-3%29%3C12

Add +3 to each part:
-12%2B3%3C2x-3%2B3%3C12%2B3
-9%3C2x%3C15

Divide by 2:
-9%2F2%3Cx%3C15%2F2

You may want to see my FREE website for additional non-traditional explanation on INEQUALITIES. The easiest way to find the website is to use the easy-to-remember and easy-to-spell link www.mathinlivingcolor.com. Near the bottom of this page is a link that takes you to my Homepage.

On my Homepage, look for the link "Basic, Intermediate, and College Algebra: One Step at a Time." Choose "Basic Algebra" and look in "Chapter 1" for "Section 1.11 Inequalities." I think you will really like the "Math in Living Color" pages that go with this section.

If you need to contact me, send me an Email at rapaljer@seminolestate.edu.

Dr. Robert J. Rapalje, Retired
Seminole State College of Florida
Altamonte Springs Campus