Write the contrapositive of the conditional statement. determine whether the contrapositive is true or false. if it is false, find a counterexample. if you have a gerbil, then you are a pet owner

The contrapositive statement :"If you do not have a gerbil, then you are not a pet owner.”

It is false.

Counter example : If you have a dog, then you are a pet owner.

Step-by-step explanation:

We know that the contrapositive of a statement of the form " If a then b" is "If not a then not b.

Given: The conditional statement is "If you have a gerbil, then you are a pet owner.”

Then the contrapositive statement will be "If you do not have a gerbil, then you are not a pet owner.”

The contrapositive statement is false.

Counter example : If you have a dog, then you are a pet owner.

Means if you area pet owner then it can be any pet not just gerbil.