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)
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
(Save $1 )
One time Pay
(Save $5 )
Billed Monthly
*First month only
You can see the logs in the Dashboard.
