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If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following. ∃ x ∈ A such that 3x + 8 > 40 - Mathematics and Statistics

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Question

If A = {3, 5, 7, 9, 11, 12}, determine the truth value of the following.

∃ x ∈ A such that 3x + 8 > 40

Sum
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Solution

Clearly x = 11 ∈ A and x = 12 ∈ A satisfies 3x + 8 > 40. So the given statement is true, hence its truth value is T.

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Chapter 1: Mathematical Logic - Exercise 1.3 [Page 17]

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