Let A = {1, 2, 3, , 14} Define a relation R from A to A by - Maths - Relations and Functions

Question

Let A = {1, 2, 3, … , 14} Define a relation R from
A to A by R = { (x ,
y ): 3 x
– y = 0, where
x , y
∈ A} Write down its domain, codomain and
range

Gopal Mohanty · Accepted Answer

The relation R from A to A is given as
R = {(x,
y): 3x
– y = 0, where
x, y
∈ A}
i e , R = {(x,
y): 3x
= y, where
x, y
∈ A}
∴R = {(1, 3), (2, 6), (3, 9), (4, 12)}
The domain of R is the set of all first elements of
the ordered pairs in the relation
∴Domain of R = {1, 2, 3, 4}
The whole set A is the codomainof the relation R
∴Codomain of R = A = {1, 2, 3,
…, 14}
The range of R is the set of all second elements of
the ordered pairs in the relation
∴Range of R = {3, 6, 9, 12}

Let A = {1, 2, 3, … , 14}. Define a relation R from A to A by R = { (x , y ): 3 x – y = 0, where x , y ∈ A}. Write down its domain, codomain and range.