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 odd then it is not a prime
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 a prime then it is not odd.

Solution

If p : A number is a prime
q : It is odd
We have p $\to$ q.
The inverse of p $\to$ q is $~$ p $\to$ $~$ q.
$~$ p $\to$ $~$ q: If a number is not a prime then it is not odd.

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