Maharashtra State BoardHSC Arts 12th Board Exam
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Determine whether the following statement pattern is a tautology, contradiction or contingency: (p → q) ∨ (q → p) - Mathematics and Statistics

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Sum

Determine whether the following statement pattern is a tautology, contradiction or contingency:

(p → q) ∨ (q → p)

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Solution

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

All the entries in the last column of the above truth table are T.
∴ (p → q) ∨ (q → p) is a tautology.

Concept: Statement Patterns and Logical Equivalence
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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 7.8 | Page 33

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