Question

Give an example of a true conditional statement with a false contrapositive,or explain why no such example can exist. Explain.

Answer 1

A true conditional statement with a false contrapositive is an if-then statement where the initial condition is true, but the negation of the final condition is false. For example, if it is raining, then the ground is wet.

Step-by-step explanation:

A true conditional statement with a false contrapositive is an if-then statement where the initial condition is true, but the negation of the final condition is false. For example:

If it is raining, then the ground is wet.

In this statement, if it is indeed raining (the initial condition is true), then the ground will be wet (the final condition is true). However, the negation of the final condition is false - if the ground is not wet, it does not mean it is not raining. Therefore, the contrapositive of this statement is false.