Prove the following statements. You must state which techniques you used. a. (2 points) The sum of an even integer and an odd integer is an odd integer. b. (2 points) The sum of an integer and its square is even. c. (2 points) For x and y positive numbers,xy if and only ify. d. (2 points) lfr' + 2x-3-0, then x #2. e. (2 points) If n is an even prime number, then 2