Prove or disprove the following. Make sure to explain every step in detail and use plenty of ords to indicate what follows from what logically! (a) For any positive real numbers x and y we have 1/2 + 1/14 (b) For any integer n, if n + n- 150 then 2n + 2n 4 > x+y 3 0. (c) If x is a real number such that |x 3| < 5, then x > 1. -