Maharashtra State BoardHSC Arts 12th Board Exam
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If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of the following statement: ∃ x ∈ A such that x + 8 = 15 - Mathematics and Statistics

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Sum

If A = {1, 2, 3, 4, 5, 6, 7, 8, 9}, determine the truth value of the following statement:

∃ x ∈ A such that x + 8 = 15

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Solution

Clearly x = 7 ∈ A satisfies x + 8 = 15. So the given statement is true, hence its truth value is T.

Concept: Quantifier and Quantified Statements in Logic
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Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.1 | Page 33

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