Maths · Relations, type of relations, equivalence relations
The compound statement, "If you won the race; then you did not run faster than o
The compound statement, "If you won the race; then you did not run faster than others" is equivalent to
- A. "If you won the race, then you ran faster than others""
- B. "If you ran faster than others, then you won the race""
- C. "If you did not win the race, then you did not run faster than others""
- D. "If you ran faster than others, then you did not win the race"
Step-by-step solution
The given statement 'If you won the race, then you did not run faster than others' is logically equivalent to its contrapositive 'If you ran faster than others, then you did not win the race', which matches option D.
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