Which of the following statements has the same truth value as the statement "If it is Friday, then Bruce has beans for supper."? If it is not Friday, then Bruce does not have beans for supper. If Bruce has beans for supper, then it is Friday. If Bruce does not have beans for supper, then it is not Friday.

Question

Mathematics

Ralph Vargas

31 August, 14:53

Which of the following statements has the same truth value as the statement "If it is Friday, then Bruce has beans for supper."? If it is not Friday, then Bruce does not have beans for supper. If Bruce has beans for supper, then it is Friday. If Bruce does not have beans for supper, then it is not Friday.

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Answers (2)

Know the Answer?

Micheal Petty · Answer 1

Micheal Petty 31 August, 15:30

0

the last one is the answer

Andres Young · Answer 2

The contrapositive of the statement p ⇒ q is not q ⇒ not p and both the statements are equivalent.

So, the contrapositive of the statement "If it is Friday, then Bruce has beans for supper" is "If Bruce does not have beans for supper, then, it is not Friday"

This is the last statement given and is the answer.