Question: Could someone please check my work Let S be a nonempty bounded subset of R and let k E R . Define KS = {ks:

Could someone please check my work Let S be a nonempty

Could someone please check my work

Let S be a nonempty bounded subset of R and let k E R . Define KS = {ks: s ES}. Prove the following: 1. If k _ 0 , then sup(kS) = k . sup(S). spent adojustq ends (dye. E.8 nominneb WTS sup(KS) 0 is NOT an upper bound of S . Therefore, there exists a number, s' E S such that sup(S) - E

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