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If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement. ∀ x ∈ A, x2 < 18. - 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 < 18.

योग
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उत्तर

For x = 5, x2 = 52 = 25 < 18

∴ x = 5 does not satisfies the equation x2 < 18.

∴ The given statement is false.

∴ Its truth value is F.

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

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

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