If the suspect is found guilty, then he will go to prison. Which of the following is a logically equivalent statement to the conditional statement above?

a) If the suspect does not go to prison, then he was not found guilty.

b) If the suspect goes to prison, then he was found guilty.

c) If the suspect is not found guilty, then he will not go to prison.

d) If the suspect is not found guilty, then he will go to prison.

Question

Elias Carpenter

Mathematics

19 June, 13:24

If the suspect is found guilty, then he will go to prison. Which of the following is a logically equivalent statement to the conditional statement above?

a) If the suspect does not go to prison, then he was not found guilty.

b) If the suspect goes to prison, then he was found guilty.

c) If the suspect is not found guilty, then he will not go to prison.

d) If the suspect is not found guilty, then he will go to prison.

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Answers (1)

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Kiki · Answer 1

Well, it would be A.

If a person is not going to prison then he was not found guilty.

That saying is basically the same as the statement in your question they both can compare. So It would be A in my eyes.