Question

for the conditional statement: if the car does not run, the car needs to be checked by a mechanic. what is the converse statement? a if the car needs to be checked by a mechanic, then the car does not run. b if the car needs to be checked by a mechanic, then the car runs. c if the car runs, the car needs to be checked by a mechanic. d if the car runs, the car does not need to be checked by a mechanic.

Explanation:

In logic, the converse of a conditional statement "if p then q" is "if q then p". Here, the original conditional statement is "If the car does not run, the car needs to be checked by a mechanic". So its converse is formed by swapping the hypothesis and the conclusion.

Answer:

B. If the car needs to be checked by a mechanic, then the car runs.