Determine the domain and range of the following relation : `{(x,y): x in N , y in N and x + y= 10}`.

Determine the domain and range of the following relation : {(x,y): x in N , x<5, y=3} .

Determine the domain and range of the following relation : {(x,y): y =|x-1|,x in Z and |x| le3 } .

Determine the domain and range of the relation R defined by R = {(x, x + 5) : x in {0, 1, 2, 3, 4, 5}}.

Determine the domain and range of the relation R defined by : R = {(x+1,x+5):x in {0, 1, 2, 3, 4, 5}} .

Determine the domain and range of the relation R defined by : R = {(x, x^3): x is prime number less than 10}.

Find the domain and range of the function y=log_(e)(3x^(2)-4x+5) .

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}.

Determine whether each of the following relations are reflexive, symmetric and transitive: Relation R in the set N of natural numbers defined as : R = (x,y), y = x+5 and x < 4)

Determine whether each of the following relations are reflexive, symmetric and transitive: Relation R in the set A = {1,2,3,….,13,14}] defined as R = {(x,y):3x-y=0).