Which is logically equivalent to "If today is Sunday, Matt cannot play hockey."?
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Today is Sunday and Matt can play hockey.
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If Matt plays hockey, then today is not Sunday.
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Today is Sunday and Matt cannot play hockey.
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Today is not Sunday if and only if Matt plays hockey.
The contrapositive of 'If P then Q' is 'If not Q then not P,' and these are logically equivalent. Here P is 'today is Sunday' and Q is 'Matt cannot play hockey.' The contrapositive becomes 'If Matt CAN play hockey (not Q), then today is NOT Sunday (not P)' - option B. Option C merely restates the original. Options A and D are not equivalent.
The original conditional is 'Sunday → not hockey.' Its contrapositive, 'hockey → not Sunday' (i.e., if Matt plays hockey, today is not Sunday), preserves the same truth value in all cases. A conjunction of the two clauses or a biconditional is a stronger or different claim and isn't logically equivalent to the original if-then statement.