Let A and B be two non empty bounded subsets of R: 1) Let A +B...

Let A and B be two non empty bounded subsets of R:

1) Let A +B = { x+y/ x ∈ A and y ∈ B} show that sup(A+B)= sup A + sup B

2) For c ≥ 0, let cA= { cx /x ∈ A} show that sup cA = c sup A

hint:( show c supA is a U.B for cA and show if l < csupA then l is not U.B)

Expert Solution

Colby Messinger answered 2 years ago

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Let A and B be two non empty bounded subsets of R: 1) Let A +B...

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