Absolute Value Of 10 3x 2 Gt 1

what is the answer for the absolute value for the following questions: |10 + 3x| – 2 > -1    |x divided by 2 – = 1    

Solution

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Let z = 10 + 3x

| z| – 2 > -1

| z | > 1

z > 1 or z < -1

10 + 3x > 1 OR 10 + 3x < =-1

3x > -9 or 3x < -11

x>-3 or x < -11/3 = -3 and 2/3

(-infinity, -11/3) U (-3, infinity)