5. Find U₁₁ A; and ₁ A; if for every positive integer i, a) A¡ = {i, i + 1, i + 2, . . .}. b) A = {0, i}. c) A₁ = (0, i), that is, the set of real numbers x with 0 < x i.

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.1: Postulates For The Integers (optional)
Problem 25E: 25. Prove that if and are integers and, then either or. (Hint: If, then either or, and similarly...
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5. Find U₁₁ A; and
₁ A; if for every positive integer i,
a) A¡ = {i, i + 1, i + 2, . . .}.
b) A = {0, i}.
c) A₁ = (0, i), that is, the set of real numbers x with
0 < x <i.
d) A¡ = (i, ∞), that is, the set of real numbers x with
x > i.
Transcribed Image Text:5. Find U₁₁ A; and ₁ A; if for every positive integer i, a) A¡ = {i, i + 1, i + 2, . . .}. b) A = {0, i}. c) A₁ = (0, i), that is, the set of real numbers x with 0 < x <i. d) A¡ = (i, ∞), that is, the set of real numbers x with x > i.
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