All shoplifters are dishonest.
No dishonest person is trustworthy.

I need a conclusion to these two statements.

Question

All shoplifters are dishonest.
No dishonest person is trustworthy.

I need a conclusion to these two statements.

anonymous · Answer

Well if all shoplifters are dishonest and all dishonest people are not trustworthy then what are shoplifters?

Hint: Are shoplifters honest or dishonest?

mazmaz · Answer

All shop lifters are dishonest

anonymous · Answer

I'm trying to figure out how the book arrived at the answer. I have it here, but I'm not sure how they arrived at it. The only way I can get it to work is to use the inverse of the second statement. Which is not correct.

anonymous · Answer

What is the answer the book gives?

anonymous · Answer

No shoplifter is trustworthy.

anonymous · Answer

what are you confused about?

anonymous · Answer

If you take a look at the statements they are not in agreement.
 All shoplifters are dishonest.  dishonest = not honest
No dishonest person is trustworthy. no dishonest = no not honest = honest

So you have
All shoplifters are not honest.
Honest people are trustworthy.

Im guessing you could take the contrapositive of one to make them agree.

anonymous · Answer

What it is saying is no not honest person is honest.

No one that is not honest is honest.

You don't turn "no not honest" into honest.

anonymous · Answer

I thought that might be the problem. Thanks for helping.