Question

Solve the following linear in-equation and graph the solution set on a real number line: 

2x - 7 < 5x + 2 ≤ 3x + 14, x ∈ R  

Answer 1

2x - 7 < 5x + 2

2x - 5x < 2 + 7

-3x < 9

x > -3

and 

5x + 2 ≤ 3x + 14

5x - 3x ≤ 14 - 2

2x ≤ 12

x ≤ 6

Solution set = [-3 < x ≤ 6]