Question

Let SCR be nenempty nd bounded above ond let kCO. pose the Set S GS end supA= kinf S s boun de d abowe

I posted this before but the answer is incorrect.

Answer 1

let upper bound of S be u ,then

u
for all
ES

  

k <0

k ku

that means A is bounded below and

inf A ku= (k)supS

means your conclusion is incorrect.