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QUESTION
Consider the set S = {x Rn|Ax b, x 0} in Rn with b 0 and A 0. Prove that this set is bounded in Rn. Hint:
Consider the set S = {x ∈ Rn|Ax ≤ b, x ≥ 0} in Rn with b ≥ 0 and A > 0. Prove that this set is bounded in Rn. Hint: Construct, using the components of A = [aij ] and b = [bi], a hyperbox that contains all of S
