Let A and B be non-empty bounded subsets of R. DefineA − B := {a − b : a ∈ A, b ∈ B} .Prove thatinf(A − B) = inf A − sup B
Question
Solution 1
Step 1: Define the variables
Let's define A and B as non-empty bounded subsets of R. We also define A - B as the set of all differences a - b, where a is an element of A and b is an element of B.
Step 2: Prove the inequality inf(A - B) >= inf A - sup B
Let's take any element a from A and any elem Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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Knowee AI is a powerful AI-powered study tool designed to help you to solve study problem.
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