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Question

Write the set O=x:x=2n-1fornN in descriptive form.


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Solution

In descriptive form, we describe the elements of the set.

The element of set O are in the form of x=2n-1, where nN, natural numbers.

So nwill take the values as 1,2,3,4....

putting n=1 in x=2n-1, we get x=2×1-1=1

putting n=2 in x=2n-1, we get x=2×2-1=3

putting n=3 in x=2n-1, we get x=2×3-1=5

Therefore, the elements in set will be odd natural numbers.

Hence in descriptive form it can be represented as O=Setofalloddnaturalnumbers=Oddnaturalnumbers


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