Question

State the converse, contrapositive and inverse of each of these conditional statements:

(a) If it snows today, I will ski tomorrow.
(b) I come to class whenever there is going to be a test.

Answer 1

The converse of the conditional statement (a) is: If I ski tomorrow, then it snowed today. The contrapositive is: If I don't ski tomorrow, then it didn't snow today. The inverse is: If it doesn't snow today, then I won't ski tomorrow. The converse of the conditional statement (b) is: If there is going to be a test, then I will come to class. The contrapositive is: If I don't come to class, then there is not going to be a test. The inverse is: If I don't come to class, then there is no test.

Step-by-step explanation:

The conditional statement (a) is: If it snows today, I will ski tomorrow. The converse of this statement is: If I ski tomorrow, then it snowed today. The contrapositive is: If I don't ski tomorrow, then it didn't snow today. The inverse is: If it doesn't snow today, then I won't ski tomorrow.

The conditional statement (b) is: I come to class whenever there is going to be a test. The converse of this statement is: If there is going to be a test, then I will come to class. The contrapositive is: If I don't come to class, then there is not going to be a test. The inverse is: If I don't come to class, then there is no test.