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Questions based on SupX, InfX, MaxX, MinX watch

1. 1. (i) Given a bounded set B ⊂R, state the deﬁnition of supB,inf B,maxB and minB. [8]
(ii) Do supB,inf B,maxB and minB always exist, and are they unique for every given such B? [4]
(iii) Explain these four terms in detail for some concrete inﬁnite bounded set of your choice. [7]
(iv) Prove that if A contains at least two elements then inf A < supA
2. (Original post by fusionnfire)
1. (i) Given a bounded set B ⊂R, state the deﬁnition of supB,inf B,maxB and minB. [8]
(ii) Do supB,inf B,maxB and minB always exist, and are they unique for every given such B? [4]
(iii) Explain these four terms in detail for some concrete inﬁnite bounded set of your choice. [7]
(iv) Prove that if A contains at least two elements then inf A < supA
Hey, I've moved this to maths study help.

For part (i) do you not have some definitions in your notes?
Have you had any thoughts on the other parts?

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