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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. - Mathematics

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Question

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

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Solution

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

(i) ∵ x = 1, 2, 3
∴ y = 1 + 5, 2 + 5, 3 + 5
    y = 6, 7, 8
Thus, we have:
R = {(1, 6), (2, 7), (3, 8)}

(ii)

Now,
Domain (R) = {1, 2, 3}
Range (R) = {6, 7, 8}

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Chapter 2: Relations - Exercise 2.3 [Page 21]

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RD Sharma Mathematics [English] Class 11
Chapter 2 Relations
Exercise 2.3 | Q 15 | Page 21

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