Question

Solve: `(3(x - 2))/5 ≤ (5(2 - x))/3`

Answer 1

`(3(x - 2))/5 ≤ (5(2 - x))/3`

`(3x - 6)/5 ≤ (10 - 5x)/3`

3(3x – 6) ≤ 5(10 – 5x)

9x – 18 ≤ 50 – 25x

9x + 25x ≤ 50 + 18

34x ≤ 68

`x ≤ 68/34` = 2

x ≤ 2

∴ The solution set is (– ∞, 2]