Answer ALL the questions 1(a) Let R ((2, 2), (2, 4), (3, 3), (3, 6), (3, 12), (4.2), (6, 3)) where P (a,b) (a,b)ER if a is a factor b (i) Draw the digraph for the relation P (ii) Find the domain and range of the relation [3 marks] [3 marks] (b) Let A be the set, A 1,2,3), and R is a relation on set A, where (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 A (1,3,5} and R is a relation on set A, where Determine if R is a reflexive and symmetric and transitive relation on A Draw a digraph of the relation (i) [6 marks] [3 marks] (ii) (d) Let A be the set of members in a family and let R be a relation defined on A as (a,b)ER if "a is a child of b". Explain if R is (i)Reflexive (ii) Symmetric (ii) Transitive [1 mark] [1 mark] [2 marks]