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A conditional statement is usually written in an if-then format. The part of the statement following 鈥渋f鈥� is the hypothesis and the part of the statement following 鈥渢hen鈥� is the conclusion.

A counterexample to a conditional statement is a case for which the hypothesis is true but the conclusion is false.

The objective is to write a conditional statement and to write a counterexample to the statement.

Let the conditional statement be 鈥淚f a number is prime, then it is odd鈥�.

Then the hypothesis is 鈥渁 number is prime鈥� and the conclusion is 鈥渋t is odd鈥�.

A counterexample to the conditional statement is when the number is 2.

Since 2 is a prime number, the hypothesis is true.

However, since 2 is an even number, it is not odd. Thus, the conclusion is false.