Question

Solve the following inequation and graph the solution set,
2x -3 ≤ x + 2 ≤ 3x + 5 x ∈ R.

Answer 1

Here, 2x - 3 ≤ x + 2 ≤ 3x + 5
⇒ 2x - 3 ≤ x + 2 and x + 2 ≤ 3x + 5
⇒ x ≤ 5 and x ≥ `(-3)/(2)`

∴ Solution set = `{ x : (-3)/(2) ≤ x ≤ 5 and x ∈ "R"}.`