Question

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 1

The contrapositive is a SWITCH of the two statements (change the order) and the NEGATION of both statements (put the word NOT in front).

Answer 2

Switch the statements
Converse: If there is no one inside, then the lights are off.

Then negate them
If there is NOT no one inside, then the lights are NOT off

Then clean it up so it makes grammatical sense:
Contrapositive: If there is someone inside, then the lights are not off.