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  3. let a and b be two non empty bounded subsets of r:

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

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Advance Math

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 supA

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

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