discrete maths

AST21111 Assignment 3 Question 1 [8 marks] Use a truth table to determine if the proposition form below is a tautology or contradiction. ((~p/\\q)A(q/\ ))/\\~q ASTlell Assimen Questionz [10 marks] Let p represent \"2 is a factor of n" , q represent \"3 is a factor of n\" , r represent \"6 is a factor of n\" . Rewrite Statement 1 and Statement 2 in symbolic form and determine whether they are logically equivalent. Statement 1: \"If 2 is a factor of n and 3 is a factor of n, then 6 is a factor of n.\" Statement 2: \"2 is not a factor of n or 3 is not a factor of n or 6 is a factor of n.\" ASTZ] 1 11 Assignment 3 {mestion 3 [5 marks] Write the negation, in symbolic form, for the proposition: \" Vr E Q, 3 integers a and I) such that r = E \" where Q is the set of all rational numbers