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    Really need help answering this question pls. Any help would be greatly appreciated. I have my own set of solutions where I've considered 3 cases for alpha being >/</=0 but I'm not too sure if it's correct

    Let A be a non empty bounded subset of Reals. For n, m belong to set of reals, let; B = {nx + m : x is in set A} Find sup B in terms of inf A, sup A n, and m. The answer should be given to include all possible values of n and m and should be fully justified.

    Thank you
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    Anyone??
 
 
 
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