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Determine the truth value of the following statement. It is not true that 2 + 3 = 6 or 12 + 3 =5 - Mathematics and Statistics

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Question

Determine the truth value of the following statement.

It is not true that 2 + 3 = 6 or 12 + 3 =5

Sum
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Solution

Let p : 2 + 3 = 6
q : 12 + 3 = 5
The truth values of p and q are F and F respectively.
The given statement in symbolic form is ~(p ∨ q).

∴ ~(p ∨ q) ≡ ~(F ∨ F) ≡ ~F ≡ T

∴ Truth value of the given statement is T.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 32]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.06 | Page 32
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