Question

which best describes the meaning of the statement \if a, then b\?
a. if a is true, then b might be true.
b. if a is false, then b must be false.
c. if a is true, then b must be true.
d. if a is false, then b might be false.

Explanation:

In a conditional statement "If A, then B", when A (the antecedent) is true, B (the consequent) must be true for the statement to hold. When A is false, the truth - value of B does not affect the truth - value of the conditional statement.

Answer:

C. If A is true, then B must be true.