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JEE Main 201912 JanuaryEvening Shift

Exam: JEE Main
Year: 2019
Date: 12 January
Shift: Evening Shift
Subject: Mathematics
Chapter: Mathematical Reasoning

JEE Main 2019 · 12 January · Evening Shift · Mathematics · Mathematical Reasoning

The expression ~ (~ p → q) is logically equivalent to

The expression

~ \left(~ p \to q\right)

is logically equivalent to

Options

A $p ∧ ~ q$
B $~ p ∧ ~ q$
C $p ∧ q$
D $~ p ∧ q$

Correct answer

B. $~ p ∧ ~ q$

Step-by-step solution

We know that $~ \left(p \to q\right) = p ∧ ~ q$ .

Hence, the expression $~ \left(~ p \to q\right)$ is logically equivalent to $~ p ∧ ~ q$ .

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