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Write the following sets in the set-buil...

Write the following sets in the set-builder form :
(i) `{3,6,9,12}`
(ii) `{2,4,8,16,32}`
(iii) `{5,25,125,625}`
(iv) `{2,4,5,….}`
(v) `{1,4,9,….,100}`.

Text Solution

AI Generated Solution

To write the given sets in set-builder form, we need to identify a general rule or pattern that describes the elements of each set. Let's go through each set step by step. ### Step-by-Step Solution: **(i) Set: {3, 6, 9, 12}** 1. **Identify the Pattern**: The numbers are multiples of 3. 2. **General Rule**: We can express this as \( x = 3n \), where \( n \) is a natural number. ...
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