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If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following. p ↔ (q → ∼ p) - Mathematics and Statistics

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Question

If p, q, r are statements with truth values T, T, F respectively determine the truth values of the following.

p ↔ (q → ∼ p)

Sum

Solution

p ↔ (q → ∼ p) ≡ T ↔ (T → ∼ T)

≡ T ↔ (T → F)

≡ T ↔ F

≡ F

Hence, truth value is F.

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

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Balbharati Mathematics and Statistics 1 (Commerce) [English] 12 Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 4.09 | Page 32

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