Question

Consider a relation R is defined from a set A = {2, 3, 4, 5} to a set B = {3, 6, 7, 10} as follows (x, y) ∈ R ⇔ x divides y.

The inverse relation R⁻¹ is 

(a) {(6, 2), (10, 2), (3, 3), (6, 3), (10, 5)} 

(b) {2, 4} 

(c) {(3, 2), (1, 3), (4, 5)} 

(d) None of the above

Answer 1

Correct option is (a)

By definition, R^-1 =  {( 6,2 ), ( 10,2 ), ( 3,3 ), ( 6,3 ), ( 10,5 )}