Question

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??

Answer 1

@phi

Answer 2

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

Answer 3

???

Answer 4

the original is true

Answer 5

the question is asking which statement is true

Answer 6

yes. if
A -> B
then
~B -> ~A

where ~ means not

Answer 7

sorry but I still do not understand

Answer 8

are you studying logic?

Answer 9

yes

Answer 10

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

Answer 11

no I did not learn that

Answer 12

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.

Answer 13

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

Answer 14

thank you!