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, 3x ≤ 25. - 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, 3x ≤ 25.

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Solution

x = 9 ∈ A does not satisfy 3x ≤ 25 So the given statement is false, hence its truth value is F.

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 4.4 | Page 33

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