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

Determine which of the following relations represent y as a function of x. Find the domainand range of those relations which are functions.(a) {(−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9)}(b) {(−3, 0), (1, 6), (2, −3), (4, 2), (−5, 6), (4, −9), (6, 2)}(c) {(−3, 0), (−7, 6), (5, 5), (6, 4), (4, 9), (3, 0)}(d) {(1, 2), (4, 4), (9, 6), (16, 8), (25, 10), (36, 12), . . .}(e) {(x, y) : x is an odd integer, and y is an even integer}(f) {(x, 1) : x is an irrational number}(g) {(1, 0), (2, 1), (4, 2), (8, 3), (16, 4), (32, 5), . . . }(h) {. . . , (−3, 9), (−2, 4), (−1, 1), (0, 0), (1, 1), (2, 4), (3, 9), . . . }(i) {(−2, y) : −3 < y < 4}(j) {(x, 3) : −2 ≤ x < 4}

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

For each of the following relations defined on sets M = {5, 6, 7, 8} and N = {1, 3, 5, 7, 9},list the elements and find its domain and range.(a) S1 = {(m, n)|m + n is even}(b) S2 = {(m, n)|n = 2m − 9}(c) S3 = {(m, n)|m < n}(d) S4 = {(m, n)||m − n| ≤ 2}(e) S5 = {(m, n)|m is divisible by n}(f) S6 = {(m, n)|m + n is a prime number

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 = {4,5,6} , B = {a,y,c,w}and R = {(4,c), (4,y), (5,a),(5,c), (5,w)} is a relation from A to B.Then we can write :