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 $4, x, y ϵ N$ }

Depict this relationship using roster form

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Solution

We have,

R = {(x, y) : y = x + 5, x} is a natural number less than $4, x, y ϵ N$ }

Putting x = 1, 2, 3 we get, y = 6, 7, 8 respectively

$∴$ Relation R in roster form is

$R = {(1, 6), (2, 7), (3, 8)}$

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Similar questions

Q. 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.

Q. Define a relation R on the set N of natural number by R = {(x, y) : y = x + 5, x is a natural number less than 4, x, y ∈ N}. Depict this relationship using (i) roster form (ii) an arrow diagram. Write down the domain and range or R.

Q. Define a relation

R

on the set

N

of natural number by

R =

{

(x, y) : y = x + 5, x is a natural number less than 4; x, y ϵ N

}. Depict this relationship using roster form. Write down the domain and the range.

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

Q. Let R be a relation defined on the set of natural numbers N as
R= {(x, y): x

\in N, y \in N, 2 x + y = 41

}
Find the domain and range of this relation R. Also, verify whether R is (i) reflexive (ii) symmetric (iii) transitive.

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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,yϵN} Depict this relationship using roster form

We have, R = {(x, y) : y = x + 5, x} is a natural number less than 4,x,yϵN} Putting x = 1, 2, 3 we get, y = 6, 7, 8 respectively ∴ Relation R in roster form is R={(1,6),(2,7),(3,8)}

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 $4, x, y ϵ N$ }

Depict this relationship using roster form

We have,

R = {(x, y) : y = x + 5, x} is a natural number less than $4, x, y ϵ N$ }

Putting x = 1, 2, 3 we get, y = 6, 7, 8 respectively

$∴$ Relation R in roster form is

$R = {(1, 6), (2, 7), (3, 8)}$