Question

Solve the following equations graphically. Verify the solution sets using the original equations.

b. |3x − 4| = 5 − |x − 2|

Answer 1

Answer: x = 2.75 x = 0.25

Explanation:

Verifying:

|3x − 4| = 5 − |x − 2|

|3x − 4| + |x - 2| = 5

|3x - 4 + x - 2| = 5

|4x - 6| = 5

4x - 6 = 5 or 4x - 6 = -5

4x = 11 . 4x = 1

x = 11/4 x = 1/4

x = 2.75 x = 0.25

Attached the graphic solution using a graph creator.