Question

What is the contrapositive of the following statement? If Sally is 6 feet tall, then she plays basketball. a If Sally plays basketball, then she is 6 feet tall. b If Sally is 6 feet tall, then she plays basketball. c If Sally does not play basketball, then she is not 6 feet tall. d If Sally is not 6 feet tall, then she does not play basketball.

Answer 1

C. If Sally does not play basketball, then She is not 6 feet tall

Explanation:

Represent the two statements with p and q

Given

p = Sally is 6 feet tall

q = Sally plays basketball

Required

Determine the contrapositive

For a statement

`p\ -> q`

Meaning; If p then q

The contrapositive is:

`\¬q -> \¬p`

Meaning: If not q, then not p

Hence;

Option C answers the question