Question

Solve the following inequality: |x – 4|> 6

Answer 1

x>10 or x< -2

Explanation:

There are two solutions, one positive and one negative, remembering to flip the inequality for the negative

x-4 >6 or x-4 < -6

Add 4 to each side

x-4+4 > 6+4 or x-4+4 < -6+4

x>10 or x< -2