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Negation of the conditional, ..If it rai...

Negation of the conditional, ..If it rains, I shall go to school.. is:

A

It rains and I shall go to school

B

It rains and I shall not go to school

C

It does not rain and I shall go to school

D

I shall go to school or It rains.

Text Solution

Verified by Experts

The correct Answer is:
B
p : It rains, q : I shall go to school.
Thus, we have `p rArr q `
Its negation is `~(p rArr q)i.e, p ^^ -q`
i.e., It rains and I shall not go to school
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