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If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement. ∀ x ∈ A, x2 + 2 ≥ 5. - Mathematics and Statistics

Sum

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

∀ x ∈ A, x2 + 2 ≥ 5.

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Solution

There is no x in A which satisfies x2 + 2 ≥ 5.

∴ The given statement is false.

∴ Its truth value is F.

Concept: Mathematical Logic - Truth Value of Statement in Logic
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Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.21 | Page 34
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