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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 3x + 2 > 9 - 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 3x + 2 > 9

योग

उत्तर

For x = 3, 3x + 2 = 3(3) + 2 = 9 + 2 = 11 > 9

∴ x = 3 satisfies the equation 3x + 2 > 9.

∴ 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] 12 Standard HSC Maharashtra State Board
अध्याय 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.21 | पृष्ठ ३४

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