Question

Please just check my answer- I want to make sure I am right. Medal will be given to whoever helps me.

Answer 1

Read the proposition and the implication shown below:

"If the lights are off, there is no one inside."

Which statement is a contrapositive to the proposition and logically equivalent to it?

Answer 2

If the lights are not off, there is someone inside.
If there is no one inside, the lights will not be on.
If the lights are on, there is someone inside.
If there is someone inside, the lights will be on.

Answer 3

I believe that the answer is D. the last one

Answer 4

Because in a contrapositive you make both negative. Like "If it is raining then the grass is wet" would be "If the grass is not wet then it is not raining." and since the one given is already negative it would be made into a 'positive' which would be D

Answer 5

@agent0smith @myininaya help please?

Answer 6

Oh and you also switch the two around as well when it is a contrapositive

Answer 7

yes, D is the contrapositive for exactly the reasons you gave.

Answer 8

Thank you :)