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If A = {2, 3, 4, 5, 6, 7, 8}, determine the truth value of the following statement. ∃ x ∈ A, such that x + 3 < 11. - 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, such that x + 3 < 11.

योग
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उत्तर

For x = 2, x + 3 = 2 + 3 = 5 < 11. 

∴ x = 2 satisfies the equation x + 3 < 11.

∴ The given statement is true.

∴ Its truth value is 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] Standard 12 Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.21 | पृष्ठ ३४

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