Let p be “you are a pitcher” and let q be “you are on the baseball team.” Write the contrapositive~ q to p in words. Then decide whether it is true or false.

Answer 1

A contrapositive exchanges and negates the hypothesis and conclusion of a biconditional statement so instead of "if p, then q", it becomes "If not q, then not p".

So the standard conditional statement, "If you are a pitcher, then you are on a baseball team." written as the contrapositive would be, "If you are not on a baseball team, then you are not a pitcher."

What do you think? Is it possible to not be on a baseball team and still be a pitcher?