Mathematical Logic And Boolean Algebra Question 34
Question: Which of the following is the inverse of the proposition: ?if a number is a prime then it is odd.??
Options:
A) If a number is not a prime then it is odd
B) If a number is not a prime then it is not odd
C) If a number is not odd then it is not a prime
D) If a number is not odd then it is a prime?
Show Answer
Answer:
Correct Answer: B
Solution:
[b] p: A number is a prime Q: It is odd. We have $ p\Rightarrow q $ The inverse of $ p\Rightarrow q $ is $ \tilde{\ }p\Rightarrow \tilde{\ }q $ i.e., if a number is not a prime then it is not odd.