Theorem 2.8 states that if a and b are real numbers such that a < b + ? for every positive numbe

Question

Prove Theorem 2.8.

   Prove Theorem 2.8.

Competitive Equilibrium: Theory and Applications

Bryan Ellickson 1st Edition

Chapter 2, Problem 10

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Step 1

8 states that if a and b are real numbers such that a < b + ε for every positive number ε, then a ≤ b. To prove this theorem, we will use a proof by contradiction. Assume that a > b. Since a > b, we can subtract b from both sides to get a - b > 0. Now, let's Show more…

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