a) Define the appropriate variables and write the following statement in symbolic form Either my history class is boring and biology class is exciting or my math class is useful (2 marks) b) Given, P(x):x is an odd integer. R(x): x is an odd integer, Q(x):x is prime integer. Write a statement in English corresponding to each symbolic statement below. i) x(P(x) R(x)) 3x(P(X) AQ(x)) ii) (3 marks) c) Let, P(a,b): a > b; Q(a,b): a sb; R(a): a - 6 = 2; S(a): a > 10 Given the domain discourse for a and b is a set of real numbers, give the truth values of the following statements. Justify your answer. i) Vb - S(b)] ii)(b)(a) Q(a, b) iii) (3a) S(a) A- (Va) R(a) (4 marks) d) Show that, -(b a) ab) = b and the state the law used in the solutions. (4 marks)