Consider the statement A: “If n is an integer, is not an integer.”(a) Is A true or false?...

Consider the statement A: “If n is an integer, is not an integer.”

(a) Is A true or false? Either prove true, or give a counterexample to prove false.

(b) Write down the converse, the contrapositive, and the negation of A. Which of these is true? Which is false? Justify each answer with a proof or a counterexample.