Maharashtra State BoardHSC Arts 12th Board Exam
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Determine the truth values of p and q in the following case: (p ∨ q) is T and (p ∨ q) → q is F - Mathematics and Statistics

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Sum

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

(p ∨ q) is T and (p ∨ q) → q is F

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Solution

p q p ∨ q (p ∨ q) → q
T T T T
T F T F
F T T T
F F F T

Since the truth values of (p ∨ q) is T and (p ∨ q) → q is F, from the table, the truth values of p and q are T and F respectively.

Concept: Logical Connective, Simple and Compound Statements
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APPEARS IN

Balbharati Mathematics and Statistics 1 (Arts and Science) 12th Standard HSC Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 8.2 | Page 34
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