If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement. ∀ x ∈ A, x2 + 2 ≥ 5.

QUESTION

Miscellaneous Exercise 1 | Q 4.21 | Page 34

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

∀ x ∈ A, x² + 2 ≥ 5.

SOLUTION

There is no x in A which satisfies x² + 2 ≥ 5.

∴ The given statement is false.

∴ Its truth value is F.