and s be the proposition statement "You have an overdue library book". 6) (a) Show that p q and (p^q) v (p^ng) are logically equivalent. (b) Show that p (q r) and q- (p v r) are logically equivalent. (3 marks) (4 marks) 7) Show that each of these conditional statements is a tautology by using truth tables: (a) (paq- (2 marks) (b)-(-)--- (2 marks) I (4 marks) 8) What is the cardinality of each of these sets: (a) {x} (b) {{x}} (c) {x,{x}3 (d) {x,{x},{x,{x}}} (4 marks 9) Find the newer set of each of these sets where are distinct elements