Question

What is the contrapositive of the following conditional?

"If a student plays basketball, then the student is over 6 feet tall."

A. If a student is over 6 feet tall, then the student plays basketball.
B. If a student is not over 6 feet tall, then the student does not play basketball.
C. If a student does not play basketball, then the student is not over 6 feet tall.
D. A student plays basketball if and only if the student is over 6 feet tall.

Answer 1

If a student is not over 6 feet tall, then the student does not play basketball.

Explanation:

Took the Exam :)

Answer 2

Answer: B. If a student is not over 6 feet tall, then the student does not play basketball.

Explanation:

The contrapositive of a conditional statement of the form "If p then q" is "If not q then not p. The contrapositive is logically equivalent to conditional statement.

Here the given conditional statement is "If a student plays basketball, then the student is over 6 feet tall."

Thus the contrapositive of the conditional statement will be "If a student is not over 6 feet tall, then the student does not play basketbal"