All Clemson fans root for the Tigers. Rewrite the above statement to reflect the following conditions and state whether each condition is true or false. If false provide a counterexample:

How is this related to geometry? What are the "following conditions"?

You cannot copy and paste here.

All Clemson fans root for the Gamecocks.

False. The statement is false because Clemson fans do not root for the Gamecocks. A counterexample would be a Clemson fan who roots for a different team, such as the Alabama Crimson Tide.