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Determine the domain and range of the relation R defined by R=

Question

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

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Determine the domain and range of the relation R defined by

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

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Text solutionVerified

Domain

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

, Range

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

We have,

R = {(x, x + 5) : x \in {0, 1, 2, 3, 4, 5}} = {(0, 5), (1, 6), (2, 7), (3, 8), (4, 9), (5, 10)}

∴

Domain

(R) = {0, 1, 2, 3, 4, 5}

and Range

(R) = {5, 6, 7, 8, 9, 10}

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Question Text	Determine the domain and range of the relation R defined by $R = {(x, x + 5) : x \in {0, 1, 2, 3, 4, 5}}$ .
Answer Type	Text solution:1
Upvotes	150