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State whether the following statement is True or False : p ∨ q has truth value F is both p and q has truth value F. - Mathematics and Statistics

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Question

State whether the following statement is True or False :

p ∨ q has truth value F is both p and q has truth value F.

Options

  • True

  • False

MCQ
True or False
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Solution

This statement is True.

Explanation:

p q p ∨ q
T T T
T F T
F T T
F F F

∴ The statement p ∨ q has the truth value F whenever both p and q have the truth value F.

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Chapter 1: Mathematical Logic - Miscellaneous Exercise 1 [Page 31]

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Balbharati Mathematics and Statistics 1 (Commerce) [English] Standard 12 Maharashtra State Board
Chapter 1 Mathematical Logic
Miscellaneous Exercise 1 | Q 3.03 | Page 31
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