PLEASE TYPE ONLY*** Exercise 4.2.3: Find a counterexample. Find a counterexample to show that each of the statements is false. (d) Every positive integer can be expressed as the sum of the squares of two integers. (e) The multiplicative inverse of a real number x, is a real number y such that xy = 1. Every real number has a multiplicative inverse.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 87E
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PLEASE TYPE ONLY***

Exercise 4.2.3: Find a counterexample.

Find a counterexample to show that each of the statements is false.

(d)

Every positive integer can be expressed as the sum of the squares of two integers.

(e)

The multiplicative inverse of a real number x, is a real number y such that xy = 1. Every real number has a multiplicative inverse.

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