Q8 of 109 Page 1

If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x < y} is a relation from A to B, then write R^–1.

Given A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x < y}

According to the condition x < y

⇒ R= A × B

⇒ R={(2,3), (2,7), (3,7), (4,7)}

⇒ R^-1= B × A

⇒ R^-1={ (3,2), (7,2), (7,3), (7,4)}

If R is a symmetric relation on a set A, then write a relation between R and R^–1.

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.

Let A = {3, 5, 7}, B = {2, 6, 10} and R be a relation from A to B defined by R = {(x, y) : x and y are relatively prime}. Then, write R and R^–1.

Define a reflexive relation.

If A = {2, 3, 4}, B = {1, 3, 7} and R = {(x,y) : x ϵ A, y ϵB and x < y} is a relation from A to B, then write R–1.