Question

Determine the truth value of the given conditional statement.

Given: If 3 is an even number, then 5 + 3 = 8.

A true statement implies a true statement, so the conditional statement is true.
A true statement implies a false statement, so the conditional statement is true.
A false statement implies a true statement , so the conditional statement is true.
A false statement implies a true statement , so the conditional statement is false.

Answer 1

The conditional is true. The antecedent "3 is even" is false and the consequent "5 + 3 = 8" is true. In material implication a false antecedent implies a true consequent makes the conditional true. (So choose: "A false statement implies a true statement, so the conditional statement is true.")