Question

Solve for x as a positive and negative...

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

Answer 1

x = 2/3 x = -1/3

Explanation:

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

We have two solutions, one positive and one negative

3x-1/2 = 3/2 and 3x-1/2 = -3/2

Add 1/2 to each side

3x-1/2+1/2 = 3/2+1/2 and 3x-1/2+1/2 = -3/2+1/2

3x = 4/2 3x = -2/2

3x = 2 3x = -1

Divide by 3

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

x = 2/3 x = -1/3