Question

Read the statement shown below.

If Gina cleans her room, then she will go to the mall.

Which of these is logically equivalent to the given statement?

If Gina did not go to the mall, then she cleaned her room.

If Gina cleaned her room, then she will not go to the mall.

If Gina did not go to the mall, then she did not clean her room.

If Gina did not clean her room, then she will go to the mall.

Answer 1

If Gina did not go to the mall, then she did not clean her room.

Answer 2

3rd one is correct as it is opposite to original statement:)

Answer 3

So basically, this is the inverse of the original statement. For example: orginal statement is if p, then q. So the inverse would be if not p, then not q. These statements are logically equivalent since you can see the "not" part as -1. so p = q, then -p = -q.

Answer 4

thank you:)

Answer 5

The contrapositive is equivalent to the original statement pretty much most if not all the time. The inverse and converse are logically equivalent, but are the opposite of the original/contrapositive.
The third one.

Answer 6

NP BTW @ahaines14 did I mention how much I enjoy them medals?

Answer 7

There. Just for you :)

Answer 8

Lol thanks.

Answer 9

Just get the best answer if you want a medal. Often if the asker doesn't give it, a good answer will get a medal from others.

Answer 10

Alright thanks for the tip :)

Answer 11

hun thanks for helpin me:) i love givin u the metals

Answer 12

Haha thanks.

Answer 13

no prob:)