Math Help - Inequality Problem

1. Inequality Problem

What are the possible values of x for which 2x < 2 < 3x?

Why can we simplify to 2/3 < x < 1? I'm getting stuck with that "2" in the middle..

2. Re: Inequality Problem

Originally Posted by mjoshua
What are the possible values of x for which 2x < 2 < 3x?

Why can we simplify to 2/3 < x < 1? I'm getting stuck with that "2" in the middle..
Split it into two separate inequalities.

2x < 2
x < 1

2 < 3x
2/3 < x

So we require 2/3 < x < 1.

3. Re: Inequality Problem

Oh gosh, thank you so much prove it, I should have seen that!