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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Sum

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

∀ x ∈ A, x2 < 18.

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Solution

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.

  Is there an error in this question or solution?
Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 34]

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Balbharati Mathematics and Statistics 1 (Commerce) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.21 | Page 34

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