Use element argument method without using the logic formulas to prove that for any sets A, BandC,ANn(BuC)=(AnB)u(An(). (14 marks) Let D be the binary relation on R (the set of real numbers) defined below: Foralluuwe R,(u,w)e D& JkeZ w=u+k Show whether D is reflexive, symmetric or transitive. Is D an equivalence relation? (15 marks) Let A = {#, 7, x} and let R be the relation on A given by R = {(x, x), (7, 7), (#, #)}. Prove or disprove reflexivity, symmetry and transitivity of R. (14 marks) Let Q be the set of all rational numbers. Prove or disprove without using horizontal line test whether the following function is one-to-one and/or onto: f: Q Q defined as f(x) = 79x 33 (14 marks) Let R be the set of real numbers, A={xe R:5