Chapter 6: Linear Inequalities

Q1. Solve: 3x - 7 < 5x + 1.

Solution

-7 - 1 < 5x - 3x
-8 < 2x
x > -4
Solution set: (-4, ∞)

Q2. Solve: |2x - 3| ≤ 5.

Solution

-5 ≤ 2x - 3 ≤ 5
-2 ≤ 2x ≤ 8
-1 ≤ x ≤ 4
Solution: [-1, 4]