Question

R is a relation from {11, 12, 13} to {8, 10, 12} defined by y = x − 3. Then R⁻¹ is

(A)  {(8, 11), (10, 13)} 

(B)  {(11, 18), (13, 10)}

(C)  {(10, 13), (8, 11)} 

(D)  None of these

Answer 1

Correct option   (A) {(8, 11), (10, 13)}

Explanation :

R is a relation from {11, 12, 13} to {8, 10, 12} defined by

y = x − 3 ⇒ x - y = 3 

Therefore, R = {11, 8}, {13, 10}.

Hence, R⁻¹ = {8,11};{10,13}.