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(The case n = 2 is known as the Triangle Inequality, and is discussed in Section 9.2.) x, then plx, for some i. b) If p is a prime, and x₁,x2,...,x, EN, and plx, x₂ (The case n = 2 is known as Euclid's Lemma and is proved in Section 5.3.)

(The case n = 2 is known as the Triangle Inequality, and is discussed in Section 9.2.) x, then plx, for some i. b) If p is a prime, and x₁,x2,...,x, EN, and plx, x₂ (The case n = 2 is known as Euclid's Lemma and is proved in Section 5.3.)

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.2: Exponents And Radicals
Problem 85E
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Question b)

In each of the following, assume that the statement is true for n = for all n ≥ 2. a) If x₁, x2,...,x, ER, then x₁ + x₂ + .. (The case n 2 is known b) If p is a prime, and x₁, x2, (The case n = 2 is known ww 2, and prove that it is true +x≤|x₁| + |x₂| + ··· + x₂. as the Triangle Inequality, and is discussed in Section 9.2.) .,x, E N, and plx, X₂ Xn, then px, for some i. as Euclid's Lemma and is proved in Section 5.3.)
Transcribed Image Text:In each of the following, assume that the statement is true for n = for all n ≥ 2. a) If x₁, x2,...,x, ER, then x₁ + x₂ + .. (The case n 2 is known b) If p is a prime, and x₁, x2, (The case n = 2 is known ww 2, and prove that it is true +x≤|x₁| + |x₂| + ··· + x₂. as the Triangle Inequality, and is discussed in Section 9.2.) .,x, E N, and plx, X₂ Xn, then px, for some i. as Euclid's Lemma and is proved in Section 5.3.)
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