Mathematical Logic And Boolean Algebra Question 156
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 rains and I shall not go to school
C) It does not rains and I shall go to school
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
p : It rains, q : I shall go to school Thus, we have $ p\Rightarrow q $ Its negation is $ \tilde{\ }(p\Rightarrow q) $ i.e. $ p\ \wedge \tilde{\ }q $ i.e. It rains and I shall not go to school.