Homework Help: Math

Posted by Amy on Friday, March 22, 2013 at 2:34pm.

"If Tom buys a red skateboard, then Anne buys pink in-line skates."ť Which statement below is logically equivalent?
A. If Anne does not buy pink in-line skates, then Tom does not buy a red skateboard.
B. If Tom does not buy a red skateboard, then Anne does not buy pink in-line skates.
C. If Anne buys pink in-line skates, then Tom buys a red skateboard.
D. If Tom buys a red skateboard, then Anne does not buy pink in-line skates.

is it B

Math - Steve, Friday, March 22, 2013 at 3:42pm
no, it is (A) - the contrapositive

Just because you know what happens when Tom buys a red skateboard, that does not mean you know anything about what happens when he does not. The inverse is not always true.

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