Mathematical Logic And Boolean Algebra Question 132
Question: The negation of the statement “If I become a teacher, then I will open a school”, is:
Options:
A) I will become a teacher and I will not open a school.
B) Either I will not become a teacher or I will not open a school.
C) Nither I will not become a teacher or I will not open a school
D) I will not become a teacher or I will open a school.
Show Answer
Answer:
Correct Answer: A
Solution:
[a] Let p : I become a teacher q: I will open a school Negation of $ p\to q $ is $ \sim (p\to q)=p\wedge \sim q $ i.e., I will become a teacher and I will not open a school.