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