Question

Define a relation R on the set N of natural number by​

Answer 1

Answer:

Relation R in the set N of natural numbers defined as:

R = {(x, y): y = x + 5 and x < 4}

Answer 2

${\sf{\underline{\blue{Solution :}}}}$

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

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• The natural numbers less than 4 are 1, 2, and 3.

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∴ R = {(1, 6), (2, 7), (3, 8)}

• The domain of R is the set of all first elements of the ordered pairs in the relation.

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∴ Domain of R = {1, 2, 3}

• The range of R is the set of all second elements of the ordered pairs in the relation.

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∴ Range of R = {6, 7, 8}

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