Problem 1: Use one of the proof methods to prove the following results. 1. Prove that n? +1 2 2n, where n is a positive integer with 1

Problem 1: Use one of the proof methods to prove the following results.<br>1. Prove that n? +1 2 2n, where n is a positive integer with 1 < n< 4.<br>2. Prove that if x and y are real numbers, then max(x, y) + min(x, y) = x + y.<br>[Hint: Use a proof by cases, with the two cases corresponding to x 2 y and x < y,<br>respectively.]<br>

Extracted text: Problem 1: Use one of the proof methods to prove the following results. 1. Prove that n? +1 2 2n, where n is a positive integer with 1 <>< 4.="" 2.="" prove="" that="" if="" x="" and="" y="" are="" real="" numbers,="" then="" max(x,="" y)="" +="" min(x,="" y)="x" +="" y.="" [hint:="" use="" a="" proof="" by="" cases,="" with="" the="" two="" cases="" corresponding="" to="" x="" 2="" y="" and="" x="">< y,="">

Jun 08, 2022

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Problem 1: Use one of the proof methods to prove the following results. 1. Prove that n? +1 2 2n, where n is a positive integer with 1

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