If `R={(x,y):x+2y=8}` is a relation on N write the range of R

If R = (x,y) , xy = 12 is a relation on N, write the domain of R.

If R= {(x,y):x, y in Z, x^2+y^2le9} is a realation on Z, then domain of R is:

Determine whether each of the following relations are reflexive, symmetric and transitive : (i) Relation R in the set A = {1, 2, 3,......, 13, 14} defined as R={(x,y): 3x-y=0} (ii) Relation R in the set N of natural numbers defined as R={(x,y): y=x+5 " and " x lt 4} (iii) Relation R in the set A = {1, 2, 3, 4, 5, 6} defined as R = {(x, y): y is divisible by x}. iv) Relation R in the set Z, of all integers defined as R = {(x, y) : x -y is an integer}.

Let A = (2,3,4,5,6,7,8,9). Let R be the relation on A defined by (x,y):x in A, y in A and x divides y .Find range of R^-1

Define a relation R on the set N of natural numbers by R = {(x, y) : y= x + 5, x is a natural number less than 4, x,y in N}. Depict this relationship using roster form. Write down the domain and the range.

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Depict this relation by arrow diagram.

Define a relation R on the set N of natural numbers by : R= {(x, y): y =x + 5, x is a natural number less than 4, x, y in N}. Depict this relationship using (i) roster form (ii) an arrow diagram.

Let N be the set of natural numbers and the relation R be defined on N such that R = {(x, y) : y = 2x, x, y in N} . What is the domain, co-domain and Range of R ?

Let A = {1, 2, 3, 4} and B = {x,y,z}. Let R be a relation from A into B defined by : R= {(1,x), (1,z), (3,x), (4,y)}. Find the domain and range of R.