Q29 / 69 · NTA Abhyas (JEE Main) 2020 · Mathematics · Mathematical Reasoning

The statement $~ p \to (q \to p)$ is equivalent to

A
$p \to (p \to q)$
B
$p \to (p \lor q)$
Correct answer
C
$q \to p$
D
$q \to (p \to q)$

Solution

∵ s \to r \equiv ~ s \lor r

∴ ~ p \to (q \to p) \equiv p \lor (q \to p)

\equiv p \lor (~ q \lor p) \equiv ~ q \lor p = q \to p

Hence, the correct answer is option: 'C'.

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