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Upper and Lower bounds? Completely confused! Please help!

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jessieh16 | Student, Grade 10 | Honors

Posted July 1, 2013 at 7:33 AM via web

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Upper and Lower bounds?

Completely confused!

Please help!

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aruv | High School Teacher | Valedictorian

Posted July 1, 2013 at 7:57 AM (Answer #1)

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The concept of the Upper bounds and lower bound in general used in theory of sets and function .

Let us explain it for you. Consider a set

`S={1/n:n inN }` or

`S={1,1/2,1/3,1/4,.........,1/n,1/(n+1),....}`

The highest elememnt in the set S is 1.

and lowest element  0 which is not in S (because there does not exist a real number when it divide 1 get 0)

But you can understand from here `1/(n+1)>0 AA n`

Thus  0 is lower bound and 1 is an upper bound of set S.

i.e.   `0<x<=1 AA x in S`

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