Question

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

3x - 9 ≤ 4x - 7 < 2x + 5,  x ∈  R 

Answer 1

3x - 9 ≤ 4x - 7

3x - 4x ≤ -7+9

- x ≤ 2

x ≥ -2 

and 

4x - 7 < 2x + 5

4x - 2x < 5 +7

2x < 12

x < 6

Solution set = [-2 ≤ x < 6]