Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}:P = {(a, b), (b, {a, b}), ({a, b}, a), ({b}, a), (a, {a})}.Which one of the following alternatives represents the range of P (ran(P))?a.{a, b, {a}, {a, b}}b.{a, b, {a}, {b}, {a, b}}c.{a, b, {b}, {a, b}}d.{a, b, {a, b}}

Consider the following relation on set B = {a, b, {a}, {b}, {a, b}}:P = {(a, b), (b, {a, b}), ({a, b}, a), ({b}, a), (a, {a})}.Which one of the following relations represents the composition relation P ￮ P (ie P; P)?a.{(a, {a, b}), (b, a), ({a, b}, a), ({b}, {a}), (a, {a})}b.{(a, {a, b}), (b, a), ({a, b}, a), ({b}, {a})}c.{(a, {a, b}), (b, a), ({a, b}, {a}), ({a, b}, b), ({b}, b), ({b}, {a})}d.{(a, {a, b}), (b, a), ({a, b}, {a}), ({a, b}, b), ({b}, {a})}

The set of second components in the ordered pairs is called the range of the relation.a.Trueb.False

Given the sets of ordered pairs, determine if they represent a relation or a function. If it is a function,specify the domain and range. (Criteria A)a) {(1,2),(2,3),(1,5),(4,6)}{(1,2),(2,3),(1,5),(4,6)}b) {(3,4),(2,7),(5,2),(3,1)}{(3,4),(2,7),(5,2),(3,1)}c) {(2,3),(5,6),(2,7),(8,1)}{(2,3),(5,6),(2,7),(8,1)}d) {(1,3),(2,5),(3,7),(4,9)}{(1,3),(2,5),(3,7),(4,9)}

Let A = {1, 2, 3}, B = {4, 6, 9} if relation R from A to B defined byx is greater then y. the range of R is -(a) {1, 4, 6, 9} (b) {4, 6, 9}(c) {1} (d) None of these

Select the correct answer.Which relation does not represent a function? A. {(3, 0), (0, 3)} B. {(6, -2), (5, -2)} C. {(3, 4), (3, 5)} D. {(5, 5), (-5, -5)} E. {(1, -2), (-2, 1)}