Q. The statement $p \rightarrow (q \rightarrow p)$ is equivalent to
A) $p \rightarrow (p \leftrightarrow q)$
B) $p \rightarrow (p \rightarrow q)$
C) $p \rightarrow (p \vee q)$
D) $p \rightarrow (p \land q)$
Explanation
(c)
[table] $q$ | $p$ | $q \rightarrow p$ | $p \rightarrow (q \rightarrow p)$ | $p \vee q$ | $p \rightarrow (p \vee q)$ ; T
T
F
F | T
F
T
F | T
F
T
T | T
T
T
T | T
T
T
F | T
T
T
T [/table]
$\therefore$ Statement $p \rightarrow (q \rightarrow p)$ is equivalent to$\ p \rightarrow (p \vee q)$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.