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Describe the Following Sets in Set-builder Form: {1, 4, 9, 16, ..., 100}

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Question

Describe the following sets in set-builder form: 

{1, 4, 9, 16, ..., 100} 

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Solution

Set-builder form:
To describe a set, a variable x (each element of the set) is written inside braces. Then, after putting a colon, the common property P(x) possessed by each element of the set is written within braces. 

\[ { x^2 : x \in N, 1 \leq n \leq 10}\]

 

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Chapter 1: Sets - Exercise 1.02 [Page 6]

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R.D. Sharma Mathematics [English] Class 11
Chapter 1 Sets
Exercise 1.02 | Q 2.6 | Page 6

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