1(a) Let R = {(2, 2), (2, 4), (3, 3), (3, 6), (3, 12), (4,2), (6, 3)} where if a is a factor b} (i) Draw the digraph for the relation P. [3 marks] (ii) Find the domain and range of the relation. [3 marks] (b) Let A be the set, , and R is a relation on set A, where R = {(1, 1), (1, 2), (2, 1), (2, 2), (3, 3), (3,1)}. (i) Determine if R is a reflexive and symmetric relation on A. [3 marks] (ii) Draw a digraph for the relation above. [3 marks] (c) A be the set and R is a relation on set A, where R = {(1, 1), (1, 3), (1, 5), (3, 1), (3, 3), (3, 5), (5, 5)}. (i) Determine if R is a reflexive and symmetric and transitive relation on A. [6 marks] (ii) Draw a digraph of the relation. [3 marks] (d) Let A be the set of members in a family and let R be a relation defined on A as if is a child of . Explain if R is: (i) Reflexive [1 mark] (ii) Symmetric [1 mark] (iii) Transitive [2 marks]