Posted by **alex** on Saturday, August 13, 2011 at 1:34pm.

What are all values of x for which |2x-3| < 7 ?

- Math -
**Ms. Sue**, Saturday, August 13, 2011 at 1:42pm
1, 2, 3, 4

- Math -
**drwls**, Saturday, August 13, 2011 at 3:35pm
If 2x-3 > 0, which means x >or 1.5,

Ms Sue has provided some but not all possible values of x.

First assume 2x-3 >0

This requires x > 1.5, and

2x-3 < 7

That means x < 5.

Therefore 1.5 < x < 5 are answers.

If 2x < 3, which means x < 1.5,

3 - 2x < 7

x > -2

Therefore -2 < x < 1.5 are answers

Put them together and you find that -2 < x < 5 is the range of answers.

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