Question

Solve the absolute value equation and enter the solution in set notation.

|2X-3|-7=0

Answer 1

{ x : x = -2 U x = 5 }

Explanation:

| 2x - 3 | - 7 = 0

Add 7 to both sides: | 2x - 3 | = 7

So either 2x - 3 = 7

2x = 10

x = 5

Or -(2x - 3) = 7

-2x + 3 = 7

-2x = 4

x = -2

{ x : x = -2 U x = 5 }