Solve this equation or inequality. Graph the solution.

Question

4 - x = |2 - 3x|

Answer 1

1) 2 - 3x ≥ 0

4 - x = 2 - 3x

4 + 2x = 2

2x = -2

x = -1

2) 2 - 3x ≤ 0

4 - x = -(2 - 3x)

4 - x = -2 + 3x

6 = 4x

3/2 = x

Answer 2

2 - 3x = 4 - x

-2x = 2

x = -1

2 - 3x = x - 4

-4x = -6

x = 1.5