Question

Solve the following inequation and write down the solution set: 

11x – 4 < 15x + 4 ≤ 13x + 14, x ∈ W

Represent the solution on a real number line.

Answer 1

11x – 4 < 15x + 4 ≤ 13x + 14, where x ∈ W

• 11x – 4 < 15x + 41

• 15x + 4 ≤ 13x + 14

11x – 15x < 4 + 4

–4x < 8

x > –2

15x – 3x ≤ 14 − 4

12x ≤ 10

`x <= 10/12 = 5/6`

From above:

• x > −2

• `x <= 5/6`

`-2 < x <= 5/6`

x = 0

{0}