Maths · Relations, type of relations, equivalence relations
Which is logically equivalent to "If today is Sunday Matt cannot play hockey"?
Which is logically equivalent to "If today is Sunday Matt cannot play hockey"?
- A. Today is Sunday and Matt can play hockey
- B. If Matt plays hockey then today is not Sunday
- C. Today is Sunday and Matt cannot play hockey
- D. Today is not Sunday if and only if Matt plays hockey
Step-by-step solution
The given statement is a conditional: If today is Sunday, then Matt cannot play hockey. Its contrapositive is logically equivalent: If Matt can play hockey (i.e., if Matt plays hockey), then today is not Sunday. Option B matches this contrapositive.
Related MCQs
- Which of the following is NOT equivalent to…
- Which of the following statements is the contrapositive of the statement, You win the game if you know the rules but are not overconfident.…
- The contrapositive statement of statement "If is prime number, then is odd" is…
- Assertion The relation given by ,(\mathbf{4}, \mathbf{2}),(\mathbf{2}, \mathbf{4}),(\mathbf{2}, \mathbf{3}),(\mathbf{3}, \mathbf{1})\} \) on…
- Which of the following statements is the inverse of "Our pond floods whenever there is a thunderstorm."?…