Q. Let $p$ and $q$ be two statements, then $(p \vee q) \vee \sim p$ is
A) Tautology
B) Contradiction
C) Both (a) and (b)
D) None of these
Explanation
(a)
By truth table
[table] $p$ | $q$ | $p \vee q$ | $\sim p$ | $(p \vee q) \vee \sim p$ ; T
T
F
F | T
F
T
F | T
T
T
F | F
F
T
T | T
T
T
T [/table]
It is clear that $(p \vee q) \vee \sim p$ is a tautology
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.