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 F and (p ∧ q) → q is T - Mathematics and Statistics

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Sum

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

(p ∧ q) is F and (p ∧ q) → q is T

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Solution

p q p ∧ q (p ∧ q) → q
T T T T
T F F T
F T F T
F F F T

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

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 8.3 | Page 34
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