Geometry

Question Analysis:
This question involves the concept of conditional statements in logic.
The main focus is on determining the truth value of the antecedent () in a conditional statement given the truth value of the conditional statement and the consequent ().

Key Concept Explanation:
A conditional statement is defined by its truth table.
It is false when is true and is false, and it is true in all other cases: when is false (regardless of the value of ) and when is true and is true.

Step-by-Step Solution:
We are given the conditional statement where "The car is running" and "The engine is on", and we know that is true and is false.
According to the truth table of the conditional statement , if is false and is true, then must be false.
Because if were true and is false, then would be false, which contradicts the given information that

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