First slide

Introduction to mathematical reasoning

Question

$Which of the following is logically equivalent to ~ (~ p \Rightarrow q) ?$

Moderate

A

$~ p \land q$
B

$p \land q$
C

$~ p \land ~ q$
D

$p \land ~ q$

Solution

$Since ~ (p \Rightarrow q) = p \land ~ q$
$~ (~ p \Rightarrow q) =\sim p \land ~ q$

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