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If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of the following statement: ∃ x ∈ A such that x + 8 = 15 - Mathematics and Statistics

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Question

If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of the following statement:

∃ x ∈ A such that x + 8 = 15

Sum

Solution

Clearly x = 7 ∈ A satisfies x + 8 = 15. So the given statement is true, hence its truth value is T.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 33]

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