OpenStudy (anonymous):

Read the statements shown in the below. Original Statement “If it’s a garage sale, then it’s a Sunday.” Statement 1 “If it’s a Sunday, then it’s a garage sale.” Statement 2 “If it’s not a garage sale, then it’s not a Sunday.” Statement 3 “If it’s not a Sunday, then it’s not a garage sale. Which one is correct??

5 years ago
OpenStudy (anonymous):

@phi

5 years ago
OpenStudy (phi):

I think the contrapositive is true if the original is true.

5 years ago
OpenStudy (anonymous):

???

5 years ago
OpenStudy (anonymous):

the original is true

5 years ago
OpenStudy (anonymous):

the question is asking which statement is true

5 years ago
OpenStudy (phi):

yes. if A -> B then ~B -> ~A where ~ means not

5 years ago
OpenStudy (anonymous):

sorry but I still do not understand

5 years ago
OpenStudy (phi):

are you studying logic?

5 years ago
OpenStudy (anonymous):

yes

5 years ago
OpenStudy (phi):

did you learn A->B is another way to write A implies B, or if A, then B

5 years ago
OpenStudy (anonymous):

no I did not learn that

5 years ago
OpenStudy (phi):

then there is the contrapositive: if A then B its contrapositive is if not B then not A if the first is true, then the second is also true.

5 years ago
OpenStudy (phi):

I would take the original statement and write down its contrapositive, and then look for that as the answer.

5 years ago
OpenStudy (anonymous):

thank you!

5 years ago