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Question

Mathematics Question on mathematical reasoning

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 to go to school

C

It does not rain and I shall go to school

D

None of these

Answer

It rains and I shall not to go to school

Explanation

Solution

pp : It rains, qq : I shall go to school Thus, we have pqp\Rightarrow q Its negation is \sim (pq)(p\Rightarrow q) i.e., p \wedge \sim q i.e.i.e., It rains and I shall not go to school.