MHT CET · Maths · 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 go to school
- C It does not rains and I shall go to school
- D None of the above
Answer & Solution
Correct Answer
(B) It rains and I shall not go to school
Step-by-step Solution
Detailed explanation
Let \(p:\) It rains, \(q:\) I shall go to school Thus, we have \(p \Rightarrow q\) Its negation is \(\sim(p \Rightarrow q)\) ie, \(p \wedge \sim q\) ie, it rains and I shall not go to school.
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