Question

Solve the following inequation and graph the solution set,
2x - 5 ≤ 5x + 4 < 11n ∈ R.

Answer 1

Here, 2x - 5 ≤ 5x + 4 < 11
⇒ 2x - 5 ≤ 5x + 4 and 5x + 4 < 11
⇒ -3x < 9 and 5x < 7
⇒ x ≥ - 3 and x < `(7)/(5)`
∴ Solution set = `{x : -3 ≤ x ≤ (7)/(5) and x ∈ "R"}`.