Question
"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
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
Answers
Steve
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.
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.