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Question
If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement.
∃ x ∈ A, such that 3x + 2 > 9
Solution
For x = 3, 3x + 2 = 3(3) + 2 = 9 + 2 = 11 > 9
∴ x = 3 satisfies the equation 3x + 2 > 9.
∴ The given statement is true.
∴ Its truth value is T.
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