Converse of a Conditional Statement

Converse of a Conditional Statement

How to find the converse of a conditional statement: examples and their solutions.

How to Find

To find the converse of a statement, switch both hypothesis and conclusion of the conditional.

The converse of a pq is qp.

To find the converse,
switch p and q.

Conditional statement: hypothesis and conclusion

Example 1

Write the converse of the given statement: If 2 is a prime number, then 2 is an odd number.

p: 2 is a prime number.
q: 2 is an odd number.

So qp:
If 2 is an odd number (q),
then 2 is a prime number (p).

Example 2

Write the converse of the given statement: If he is not in his room, then he is playing basketball.

p: He is not in his room.
q: He is playing basketball.

So qp:
If he is playing basketball,
then he is not in his room.