Math

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"If Tom buys a red skateboard, then Anne buys pink in-line skates." 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 -

    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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