Question

What is the inverse of the statement, "If Hugh drag races, then he drives a car"?

a) If he does not drive a car, then Hugh does not drag race.
b) If Hugh drag races, then he does not drive a car.
c) If he drives a car, then Hugh drag races.
d) If Hugh does not drag race, then he does not drive a car.

Answer 1

The inverse of the given statement is option (b) - "If Hugh drag races, then he does not drive a car".

Step-by-step explanation:

The inverse of the statement, "If Hugh drag races, then he drives a car" is option (b) - "If Hugh drag races, then he does not drive a car". The inverse of a conditional statement switches the hypothesis and the conclusion and negates both parts. In this case, we negate the original statement and switch the positions of "Hugh drag races" and "he drives a car". This results in the inverse statement, which is option (b).