Question

Let A = {2, 3, 4, 5, 6, 7, 8, 9}. Let R be the relation on A Defined by {(x, y); x, y ∈ A, x is a multiple of y and x ≠ y

(i) find the relation. 

(ii) find the domain of R. 

(iii) find the range of R. 

(iv) find the inverse relation.

Answer 1

(i) R = {(4, 2) (6, 2) (8, 2) (6, 3) (9, 3) (8, 4)} 

(ii) Domain of R = {4, 6, 8, 9} 

(iii) Range of R = {2, 3, 4} 

(iv) R^-1 = \(\frac{1}{R}\) {(2, 4) (2, 6) (2, 8) (3, 6) (3, 9) (4, 8)}