Sum
If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of the following statement:
∀ x ∈ A, 3x ≤ 25.
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Solution
x = 9 ∈ A does not satisfy 3x ≤ 25 So the given statement is false, hence its truth value is F.
Concept: Quantifier and Quantified Statements in Logic
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