Question

Solve: 2|x -1| - 3 ≥ 15.

x ≥ -10 or x ≤ -8
x ≥ 10 or x ≤ 8
x ≥ 10 or x ≤ -8
x ≥ -10 and x ≤ 8

Answer 1

x ≥ 10 or x ≤ -8

Explanation:

2|x - 1| - 3 ≥ 15

Add 3 to both sides;

2|x - 1| ≥ 18

Divide both sides by 2

|x - 1| ≥ 9 or |x - 1| ≤ -9

x - 1 ≥ 9 or x - 1 ≤ -9

Add 1 to both sides;

x ≥ 10 or x ≤ -8