Question

Find the solution set of the inequation x + 5 < 2 x + 3 ; x ∈ R Graph the solution set on the number line.

Answer 1

x + 5 ≤ 2x + 3
x – 2x ≤ 3 – 5
⇒ -x ≤ -2
⇒ x ≥ 2
∵ x ∈ R
∴ Solution set = {2, 3, 4, 5, ......}
Solution set on number line