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Describe the Following Sets in Set-builder Form: C = {0, 3, 6, 9, 12, ...}

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Question

Describe the following sets in set-builder form: 

C = {0, 3, 6, 9, 12, ...} 

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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. 

\[ {x: x = 3n, n \in Z^+}\] 

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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 2.3 | Page 6

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