Question

when using a counterexample to prove a conditional statement false, which must be true about the counterexample?
○ there must be infinite counterexamples.
○ the counterexample must satisfy the hypothesis of the conditional statement.
○ there must be at least one example under which the conditional statement is true.
○ the counterexample must satisfy the conclusion of the conditional statement.

Explanation:

A conditional statement has the form "If hypothesis, then conclusion". To disprove it with a counterexample, the case must meet the hypothesis but fail the conclusion. Infinite counterexamples are not required; one is enough. The existence of true cases doesn't affect disproving with a counterexample, and satisfying the conclusion would not contradict the statement.

Answer:

The counterexample must satisfy the hypothesis of the conditional statement.