Question

The contrapositive of a conditional statement is "If an item is not worth five dimes, then it is not worth two quarters.”

What is the converse of the original statement?

If an item is not worth two quarters, then it is not worth five dimes.
If an item is worth two quarters, then it is worth five dimes.
If an item is worth five dimes, then it is worth two quarters.
If an item is not worth five quarters, then it is worth two dimes.

Answer 1

"If an item is worth five dimes, then it is worth two quarters."

Reason: The contrapositive "If not Q then not P" means the original is "If P then Q" (two quarters → five dimes). The converse swaps P and Q: "If Q then P."