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Determine the Domain and Range of the Relation R Defined By(Ii) R = {(X, X3) : X Is a Prime Number Less than 10}

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Question

Determine the domain and range of the relation R defined by

(ii) R = {(xx3) : x is a prime number less than 10}

 
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Solution

(ii) R = {(xx3) : x is a prime number less than 10}
We have:
x = 2, 3, 5, 7
x3  = 8, 27, 125, 343
Thus, we get:
R = {(2, 8), (3, 27), (5, 125), (7, 343)}
Domain (R) = {2, 3, 5, 7}
Range (R) = {8, 27, 125, 343}

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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 9.2 | Page 21

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