Math Is Fun Forum

mrpace

Member

Registered: 2012-08-16

Posts: 88

Proof to do with supremums.

For any real number c and any set S ∈ R, we define c + S to be the set {c + x : x ∈ S}.
Prove:
If a set S ⊆ R, and c is any real number, the c + S has a supremum and
sup(c + S) = c + sup S.

Any help is much appreciated, thanks.

Nehushtan

Member

Registered: 2013-03-09

Posts: 957

Re: Proof to do with supremums.

Last edited by Nehushtan (2015-08-27 19:19:35)

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