Question

Solve: 4x - 5 > 10 - x, x ∈ {0, 1, 2, 3, 4, 5, 6, 7}.

Answer 1

4x - 5 > 10 - x, x ∈ N.

⇒ 4x + x > 10 + 5

⇒ 5x > 15

⇒ x > `15/5 = 3`

∴ x = 4, 5, 6, 7

Solution set = {4, 5, 6, 7}