Which is logically equivalent to "if cara cannot swim, then she will not enter the race"?

1. Cara cannot swim and will enter the race

2. If Cara enters the race, then she can swim

3. Cara cannot swim and will not enter the race

4. Cara can swim if and only if she enters the race

Question

Quinten

Mathematics

23 December, 11:03

Which is logically equivalent to "if cara cannot swim, then she will not enter the race"?

1. Cara cannot swim and will enter the race

2. If Cara enters the race, then she can swim

3. Cara cannot swim and will not enter the race

4. Cara can swim if and only if she enters the race

+1

Answers (1)

Know the Answer?

Nathalie · Answer 1

The answer is number 3 because it's saying that Cara cannot swim and she will not enter the race which is the same as saying "If Cara cannot swim, then she will not enter the race.

Which is logically equivalent to "if cara cannot swim, then she will not enter the race"?1. Cara cannot swim and will enter the race2. If Cara enters the race, then she can swim3. Cara cannot swim and will not enter the race4. Cara can swim if and only if she enters the race

Which is logically equivalent to "if cara cannot swim, then she will not enter the race"?

1. Cara cannot swim and will enter the race

2. If Cara enters the race, then she can swim

3. Cara cannot swim and will not enter the race

4. Cara can swim if and only if she enters the race