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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, Y ∈ N}. Depict this - Mathematics

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Sum

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

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Solution

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

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

∴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.

∴ Domain of R = {1, 2, 3}

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

∴ Range of R = {6, 7, 8}

Concept: Relation
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APPEARS IN

NCERT Class 11 Mathematics
Chapter 2 Relations and Functions
Exercise 2.2 | Q 2 | Page 36

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