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If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∀ x ∈ A, x^{2} < 18.
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Solution
For x = 5, x^{2} = 5^{2} = 25 < 18
∴ x = 5 does not satisfies the equation x^{2} < 18.
∴ The given statement is false.
∴ Its truth value is F.
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