Question

Solve the following absolute value inequality. Show your steps.

| x-5 | is Less than or equal to 7

Answer 1

|x - 5| ≤ 7
|x - 5| ≤ ±7
|x - 5| ≤ 7 or |x - 5| ≤ -7
x - 5 ≤ 7 or x - 5 ≤ -7
+ 5 + 5 + 5 + 5
x ≤ 12 or x ≤ -2

Solution Set: x and (-∞, -2]