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'?

Moderate

A

If a number is not a prime then it is odd
B

If a number is a prime then it is odd
C

If a number is not odd then it is a prime
D

If a number is not odd then it is not a prime

Solution

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

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