For problems #7 through 10, determine whether the given statement is true or false. If true, provide a proof if false, provide a counterexample. 7. There exists an integer k 2 4 such that 24 -5k +2 is prime. 8. For all integers n and m, if n- m is even then -m is even. 9. For all integers a, b,and c, if a | be then al borale.on motu