Question

Please help

Write the converse of the conditional statement. Determine whether the converse is true or false. If it is false, find a counterexample.

If you live in Ohio, then you live in the United States

Answer 1

If you live in the United States, then you live in Ohio.

False.

Answer 2

Answer with explanation:

The converse of conditional statement "if p then q" is given by "if q then p".

The given conditional statement : If you live in Ohio, then you live in the United States.

Then , the converse of the given conditional statement will be :-

If you live in United states , then you live in Ohio.

, which is not true since there are so many states in United states other than Ohio.

Counter-example: If some one lives in Indiana, then he is also lives in United states.