Mathematical Logic And Boolean Algebra Question 56

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

Options:

A) It rains and I shall go to school

B) It runs and I shall not go to school

C) It does not rain and I shall go to school

D) None of these

Show Answer

Answer:

Correct Answer: B

Solution:

[b] p: it rains, q: I shall go to school Thus, we have $ p\Rightarrow q $ Its negation is $ \neg(p\Rightarrow q)\equiv p\wedge \neg q $ i.e., it is raining and I shall not go to school.



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