Let R = {(x,y): |x2 – y2| < 1} be a relation on set A = {1, 2, 3, 4, 5}. Write R as a set of ordered pairs.
Given a relation R = {(x,y): |x2 – y2| < 1} on set A = {1, 2, 3, 4, 5}.
Now according to the condition |x2 – y2| < 1 .
⇒ x2 – y2 = 0
⇒ Describing R as set of ordered pairs:
⇒ R={(1,1),(2,2),(3,3),(4,4),(5,5)}