Math 263 : Discrete Mathematics Towson University 2. (32 ????????????????????????) If you were writing the proof of the following statement, for each of the methods below, write the beginning statement (Let...) and what you will need to prove. Then state which method is best suited for proving the statement and prove it using that method. integers ???? & ????, if ???? + ???? is odd then either ???? is even or ???? is even. Method of Contradiction (10 ????????????????????????) Method of Contraposition (6 ????????????????????????) Method of Direct Proof (4 ????????????????????????) Proof using the Method of__________________________ (12 ????????????????????????) Math 263 : Discrete Mathematics Towson University 3. (38 ????????????????????????) If you were writing the proof of the following statement, for each of the methods below, write the beginning statement (Let...) and what you will need to prove. Then state which method is best suited for proving the statement and prove it using that method. integers ???? & ????, if ???? 0 then ???? + ???? 3 2 is irrational. Method of Contradiction (8 ????????????????????????) Method of Contraposition (5 ????????????????????????) Method of Direct Proof (5 ????????????????????????) PROVIDE THE PROOF ON THE NEXT PAGE Proof using the Method of _____________________________(20 ????????????????????????)