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

Solution:

It is given that

R = {(x, x + 5) : x ∈ {0,1, 2, 3, 4, 5}}

Therefore, R = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}

The domain of a function is the set of all possible inputs for the function.

The range of a function is the set of all its outputs.

Hence,

Domain of R = {0, 1, 2, 3, 4, 5}

Range of R = {5, 6, 7, 8, 9, 10}

NCERT Solutions Class 11 Maths Chapter 2 Exercise 2.2 Question 6

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

Summary:

The relation R defined by R = {(x, x + 5) : x ∈ {0,1, 2, 3, 4, 5}} is given. We have found that Domain of R = {0, 1, 2, 3, 4, 5} and Range of R = {5, 6, 7, 8, 9, 10}.