I.) Prove or disprove the following statements. Use the domain of real numbers for each variable, unless otherwise stated in the problem a) 3xlx 2 +4x +3 > 2x 2 +5x +6] b) Vx E Z +(x+1)2> x 2] c) zfvy( 2-3xy + x220] e) ax E Z By E Z+xy has precisely 7 divisors)] 2.). Use the rules of propositional logic and laws of inference to prove the following argument: 2. P (Note: Numbers 1 -2 are the premises and proposition below is what is to be deduced from those premises.)