Negation of the conditional, "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 rains and I shall go to school

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None of the above

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Solution

The correct option is B It rains and I shall not go to school
Let $p :$ It rains, $q :$ I shall go to school
Thus, we have $p \Rightarrow q$
Its negative is $\sim (p \Rightarrow q)$ ,i.e., $p \land \sim q$
i.e., it rains and I shall not go to school.

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Similar questions

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

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

p

q :

r :

s :

p \equiv

q \equiv

r \equiv

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