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 R

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 domain of R

Let X = {1, 2, 3, 4, 5, 6, 7, 8, 9} . Let R_1 be a relation in X given by R_1 = {(x, y) : x – y is divisible by 3} and R_2 be another relation on X given by R_2 = {(x, y): {x, y} sub {1, 4, 7} or {x, y} sub {2, 5, 8} or {(x, y} sub {3, 6, 9} . Show that R_1 = R_2 .

Let A = (6,7,8,10), B = (2,4,5) a in A , b in B and R be the relation form A to B defined by a R b iff a is divisible by b. Write the solution of R and find the inverse relation of R.

Let the function f:9R to 9R be defined by f(x)=2x+sin for all x in 9R . Then f(x) is

Let f : R rarr R be the functions defined by f(X) = x^3 + 5 , then f^-1 (x) is

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.

Let A be the set of human beings living in a town at a particular time and R be the relation on A defined by R = (x,y) : x is exactly 7 cm taller than y). Check whether the relation R is reflexive, symmetric or transitive on A.

Let A be a family of sets and let R be the relation on A defined by X is disjoint from Y. State whether or not R is reflexive on A

Let A = {1, 2, 3, 4,5,6}. Define a relation R from A to A by : R = {(x, y): y= x +1}. Write down the domain, co-domain and range of R.