SOLUTION: Form a valid conclusion using all the statements for the argument. If Ed is not guilty, then Jack is telling the truth. Jack is not telling the truth.

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Question 380486: Form a valid conclusion using all the statements for the argument.
If Ed is not guilty, then Jack is telling the truth.
Jack is not telling the truth.

Answer by solver91311(24713) (Show Source):
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Let represent the statement: "Ed is guilty"

Then must represent the statement: "Ed is not guilty"

Let represent the statement: "Jack is telling the truth"

Then represents the statement: "Jack is not telling the truth."

represents the conditional given, namely "If Ed is not guilty, then Jack is telling the truth."

Since the contrapositive of a conditional statement always has the same truth value as the conditional statement, that is to say:

And we can form the contrapositive of

beginning with the other given, namely by saying:

And it is correct to conclude that Ed is guilty.

John

My calculator said it, I believe it, that settles it