please ignore the hand written part

Question 3 (a) Let A - (2, 3, 4, 5, 6), B = {5, 8, 10, 12), and consider the relation R-{(a, b) A x Bb - 2a 2 4}. (1) List all the elements of the relation R and give its cardinality |R|. (ii) Find the domain and range of the relation R. (iii) Find the inverse relation R". (b) Let A - {1, 2, 3, 4), B = {2,4,6} and the relations (12),(1,4),(1,6),(2,4),(2,6),(3 R = {(a, b)|a e A, D E A and a 4) (1,4),(1,6),(2,6),(3,6), (i) Find the sets of ordered pairs in R1, R2 and give their cardinalities |R1|, |R2). (ii) Draw the directed graphs of R1, R2. (iii)Give the Boolean-matrix representations of R1, R2. (iv) Find the domain and range of the relations R1, R2. (v) Find the inverse relations R', R