## ahaines14 3 years ago 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.

1. alanli123

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

2. maheshmeghwal9

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

3. alanli123

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.

4. ahaines14

thank you:)

5. Calcmathlete

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.

6. alanli123

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

7. Calcmathlete

There. Just for you :)

8. alanli123

Lol thanks.

9. Calcmathlete

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.

10. alanli123

Alright thanks for the tip :)

11. ahaines14

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

12. alanli123

Haha thanks.

13. ahaines14

no prob:)