(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

How to solve x for these inequality?

2. Relevant equations

|x-2|/|x+3|> (x+2) / (x+1)

3. The attempt at a solution

(x - 2)/(x + 3) > (x + 2) / ( x+1)

the left side holds the condition that is x >= 2

however, I wonder the next step. should I crossly multiply so I get

[(x - 2)((x + 1) / (x+3)] > (x + 2)(x +3) /(x+1) and find the value of x?

or there is another condition?

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# Inequalities involving division of two absolute values

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