First slide

Introduction to mathematical reasoning

Question

Which of the following is the inverse of the proposition 'If a number is a prime, then it is odd.'

Easy

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

Solution

p:A number is a prime
q : It is odd.
We have, p $\Rightarrow$ q
The inverse of $p \Rightarrow q is ~ p \Rightarrow\sim q$
i.e. if a number is not a prime, then it is not odd.

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