Question

Assume the conditional statement is true.

Information
If Kelly likes apples, then Kelly likes apple pie.

Question
Which statement must also be true?

Answer options with 4 options
A.
If Kelly likes apple pie, then Kelly likes apples.

B.
If Kelly likes apples, then Kelly doesn't like apple pie.

C.
If Kelly doesn't like apples, then Kelly doesn't like apple pie.

D.
If Kelly doesn't like apple pie, then Kelly doesn't like apples.

Answer 1

D. The contrapositive of "If Kelly likes apples (p), then Kelly likes apple pie (q)" is "If Kelly doesn't like apple pie (not q), then Kelly doesn't like apples (not p)", which is logically equivalent to the original.