Question

1.)Solve the absolute value equation.

2|3x -5| -8 =8

A. X= -1 5/6 or X= 5/6
B. X= -1 or X= 4 1/3
C. X= -1 5/6 or X= 4 1/3
D. X= -1 5/6 or X= -1

Answer 1

Answer: b.

Explanation:

Answer 2

B. x = -1 or x = 4 1/3.

Explanation:

2|3x -5| -8 =8

2|3x -5| = 16

|3x -5| = 8

The expression in the vertical lines can be positive or negative so we have 2 equations:

3x - 5 = 8 and 3x - 5 = -8

3x - 5 = 8

3x = 13

x = 13/3 or 4 1/3

3x - 5 = -8

3x = -8 + 5 = -3

x = -1.