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

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
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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 StudyGPT is a powerful AI-powered study tool designed to help you to solve study prob

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