Question

If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.

∀ x ∈ A, x² + 2 ≥ 5.

Answer 1

∀ x ∈ A, x² + 2 ≥ 5.

x = 2; 2² + 2 ≥ 5

∵ for all given values of

x = 2, 3, 4, 5, 6, 7, 8

x² + 2 ≥ 5 condition satisfied.

∴ The truth value of the given statement is True (T).