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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.

Respuesta :

MrRoyal

Answer:

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

Step-by-step 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

[tex]p\ -> q[/tex]

Meaning; If p then q

The contrapositive is:

[tex]\¬q -> \¬p[/tex]

Meaning: If not q, then not p

Hence;

Option C answers the question