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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

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प्रश्न

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

∀ x ∈ A, x2 + 2 ≥ 5.

योग

उत्तर

∀ x ∈ A, x2 + 2 ≥ 5.

x = 2; 22 + 2 ≥ 5

∵ for all given values of

x = 2, 3, 4, 5, 6, 7, 8

x2 + 2 ≥ 5 condition satisfied.

∴ The truth value of the given statement is True (T).

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अध्याय 1: Mathematical Logic - Miscellaneous Exercise 1 [पृष्ठ ३४]

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बालभारती Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.21 | पृष्ठ ३४

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