A relation defined as $R =$ { $(x, y), (2 x, 2 y)$ }.
Match the following.

Relation

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Domain

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Range

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Solution

$C o n c e p t I n v o l v e d : - ------------------- -$

A relation is the collection of ordered pairs $(x, y)$ , such that the set of values of $x$ forms the domain of the relation, and the set of values of $y$ forms the range of the relation.

$M e t h o d : - -------- -$

Given a relation:
$R =$ { $(x, y), (2 x, 2 y)$ }.
Relation = $R$ .
Domain = { $x, 2 x$ }.
Range = { $y, 2 y$ }.

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Similar questions

Write the following relations as the sets of ordered pairs :

(i) A relation R from the set {2, 3, 4, 5, 6} to the set {1, 2, 3} defined by x = 2y.

(ii) A relation R from the set {1, 2, 3, 4, 5, 6, 7} defined by $(x, y) ϵ R \Leftrightarrow x$ is relatively prime to y.

(iii) A relation R on the set {0, 1, 2, ...., 10} defined by 2x + 3y = 12.

(iv) A relation R from a set A = {5, 6, 7, 8} to the set B = {10, 12, 15, 16, 18} defined by $(x, y) ϵ R \Leftrightarrow x$ divides y.

R

N

R = {(x, y) : y = 2 x + 3, x, y \in N}

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