What is the value of x for the absolute value below.

Question

| 3x-1/2 |=1 1/2

Answer 1

Absolute value gives the positive value of an expression, so

   | 3x-1/2 |=1 1/2

means either

    (3x-1/2) =1 1/2     or    -(3x-1/2)=1 1/2

      3x = 2                 or      -3x = 1

       x = 2/3              or          x =-1/3

Answer 2

x=2/3, x=-1/3