Can you do no. 2 (all the parts). Thanks

** E Autone A Annot & Despit How Easy Repl.it The Ac Repl.it Prog 3 Conte Logic Conte (no su C Can Y C l earn-us-east-1-prod-fleet01-xythos.s3.us-east-1.amazonaws.com/5cc71db6522fe/11104308?response-content-disposition=inline%3B%20filename%2A%3DUTF- Part II: Constructing proofs (60 pt.) For Problems 2-3, you must write down all proofs in acceptable mathematical language, make sure that you mark the beginning and end of the proof, state every assumption, define every variable, give a justification for every assertion (e.g.. by definition of...), and use complete, grammatically correct sentences. See lecture slides for examples. Definitions: An integer n is even if and only if there exists an integer k such that n = 2k. An integer n is odd if and only if there exists an integer k such that n = 2k +1. Two integers have the same parity when they are both even or when they are both odd. Two integers have opposite parity when one is even and the other one is odd. An integer n is divisible by an integer d with d = 0, denoted dn, if and only if there exists an integer k such that n = dk. A real number r is rational if and only if there exist integers a and b with b + such that r = a/b. For any real number x, the absolute value of x, denoted xl, is defined as follows: les xif x 20 x = -xifx