Negation of the statement 'if it rains, I shall go to school' is

It rains and I shall go to school

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It rains and I shall not go to school

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It does not rain and I shall go to school

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It does not rain and I shall not go to school

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Solution

The correct option is B
It rains and I shall not go to school

p: It rains
q: I shall go to school
$p \Rightarrow q :$ If it rains, I shall go to school
$\sim (p \Rightarrow q) = p \land \sim q p \land \sim q : It rains and I shall not go to school$

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The negation of the conditional statement ‘If it rains, I shall go to school’ is___.

p \equiv

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