Which one of the following is the inverse of the conditional statement: "If I get the promotion, then I can buy the new car."?

Question

A. If I do not get the promotion, then I can not buy the new car.

B. If I buy the new car, then I got the promotion.

C. I got the promotion and the new car.

D. If I can not buy the new car, then I did not get the promotion.

Answer 1

the inverse of "IF P then Q" is "IF not P, then not Q"

just negate both P and Q

A is correct

the inverse is distinguished from the converse or the contrapositive

original proposition: if P then Q

converse: if Q then P

contrapositive, if ~Q, then ~P

inverse: if ~P then ~Q

the contrapositive is equivalent to the original proposition