The following conditional statement is given: "If the fruit is an apple, then the fruit is red."

Question

Part A: Explain how to change a statement into the converse and write the converse of the given conditional statement. (5 points)

Part B: Is the converse of the conditional statement valid? Give a counterexample to the converse to dispute the statement. Justify your point of view. (5 points)

Answer 1

Part A: The converse of the given conditional statement is "If the fruit is red, then the fruit is an apple."

Part B: No, the converse of the conditional statement is not valid. A counterexample to the converse is a red strawberry. A red strawberry is a fruit that is red, but it is not an apple. Therefore, the converse of the conditional statement is not valid.