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Determine the truth values of p and q in the following case: (p ∨ q) is T and (p ∧ q) is T

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Question

Determine the truth values of p and q in the following case:

(p ∨ q) is T and (p ∧ q) is T

Sum
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Solution

p q p ∨ q p ∧ q
T T T T
T F T F
F T T F
F F F F

Since p ∨ q and p ∧ q both are T, from the table, the truth values of both p and q are T.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 34]

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Balbharati Mathematics and Statistics 1 (Arts and Science) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 8.1 | Page 34

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