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Determine the Domain and Range of the Relations:(I) R = {(A, B) : A ∈ N, A < 5, B = 4}

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Question

Determine the domain and range of the relations:

(i) R = {(a, b) : a ∈ N, a < 5, b = 4}

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Solution

(i) R = {(a, b) : a ∈ N, a < 5, b = 4}
We have:
a = 1, 2, 3, 4
b = 4
R = {(1, 4), (2, 4), (3, 4), (4, 4)}
Domain (R) = {1, 2, 3, 4}
Range (R) = {4}

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Chapter 2: Relations - Exercise 2.3 [Page 21]

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R.D. Sharma Mathematics [English] Class 11
Chapter 2 Relations
Exercise 2.3 | Q 10.1 | Page 21

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