a) Given the relation R = {(1,2), (2,3)} on the set A={1,2,3}. List the ordered pairs which when added to R make it an equivalence relation? Discuss your reasoning. Major Topic Relations and Function Major Topic Predicate Logic Blooms Score b) Find the counterexample, if possible, to the universally quantified statements, where the domain for all variables consists of all integers. vx (x² # 2) 3 Designation Major Topic Propositional Logic c) An engineer decided to interpret the reasoning in the statement Q→ (P→ (P→Q)). What would be the best assumption (s) to make for the above logical statement to have a truth value of F, given that Q = F. Blooms Score Designation 7 Blooms Designation 7 Score 6 d) Translate these statements in English where F(x) is "x is fast" and A(x) is "x is an athlete", here the domain is the set of people. 3x(A(x) A~ F(x))​