let A subset or equal of R be bounded above and let c belong to R.Define the sets c+A and cA by c+A={c+a : a belong to A} and cA={ca : a belong to A}.

1-show that sup(c+A)=c+ Sup A

2-if c>=0,show that sup(cA)=cSupA

3-postulate a similar type of statement for sup(cA)for the case c

1-show that sup(c+A)=c+ Sup A

2-if c>=0,show that sup(cA)=cSupA

3-postulate a similar type of statement for sup(cA)for the case c

## This question was asked on Apr 21, 2010.

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