QJEEM08Ma8425: JEE Main 2008 Mathematics - Class 11 JEEM08Ma8425 Solution: The statement p → ( q → p ) is equivalent to

Question

Verified Solution • 2025–26 Session moderate

The statement

p \to (q \to p)

is equivalent to

Accepted Answer

q	p	$q \to p$	$p \to (q \to p)$	$(p \lor q)$	$p \to (p \lor q)$
T	T	T	T	T	T
T	F	F	T	T	T
F	T	T	T	T	T
F	F	T	T	F	T

$∴$ Statement p $\to$ (q $\to$ p) is equivalent to p $\to$ (p $\lor$ q).

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