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|4x + 9|> -2

There are two inequalities to be solved.

4x + 9 > -2 and -(4x + 9) > -2

4x + 9 > -2

Subtract 9 from both sides.

4x > -2 - 9

4x > -11

Divide both sides by 4.

x > -11/4

-4x-9 > -2

Add 9 to both sides.

-4x > -2 + 9

-4x > 7

Divide both sides by -4. This will reverse the inequality.

x < -7/4

Solutions for x

x > -11/4

x < -7/4

Since x>-11/4 and x<-7/4 overlap, all values for x are valid answers.

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