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"If Tom buys a red skateboard, then Amanda buys green in-line skates." Which statement below is logically equivalent?

(A) If Amanda does not buy green in-line skates, then Tom does not buy a red skateboard. (B) If Tom does not buy a red skateboard, then Amanda does not buy green in-line skates. (C) If Amanda buys green in-line skates, then Tom buys a red skateboard. (D) If Tom buys a red skateboard, then Amanda does not buy green in-line skates.
Can you answer this question?
 
 

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Ans : (A)
The original statement and its contrapositive are logically equivalent.
Remember that the contrapositive is the
"converse of the inverse" -- flip the "If ...then" sections AND insert "NOTs".

 

answered Jan 18, 2014 by thanvigandhi_1
 

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