What is the converse of the following conditional statement? "If this month is September, then next month ends in the letter r."

Question

What is the converse of the following conditional statement?

"If this month is September, then next month ends in the letter r."

Determine if the converse is true or false and give a counterexample if the converse is false.

1. If next month ends in the letter r, then this month is September. The converse is true. 
2. If this month is not September, then next month does not end in the letter r. The converse is true. 
3. If next month ends in the letter r, then this month is September. The converse is false; a counterexample is December. 
4. If this month is not September, then next month does not end in the letter r. The converse is false; a counterexample is December.

Answer 1

3 is the correct answer choice.

Converse: swap positions of the assumptions (hypothesis) and the conclusion.

The month after December is January, which does not end with the letter "r". BAD COUNTER-EXAMPLE.

Instead: use October or November. The next month ends in "r", but neither is September.