Problem 1. Answer True or False. Justify your answers. a) {2,3} {1, {2},3, {1,3}} b) c). Notation: {0, {0}} = {0, {0, {0}}, {0, {0, {0}}}} {3k +1 | ke Z} = {3s-2 | s E N} Jay N denotes the set of natural numbers, i.e., {0, 1, 2, 3, 4, 5, 6, …} Z denotes the set of positive integer numbers, i.e., {1, 2, 3, 4, 5, 6, 7,...}

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 6E
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Problem 1. Answer True or False. Justify your answers.
{2,3} {1, {2}, 3, {1,3}}
a)
b) __________ {Ø, {0}} = {0, {0, {0}}, {0, {0, {0}}}}
c)
Notation:
{3k +1 | ke Z+} = {3s-2 | s E N}
N denotes the set of natural numbers, i.e.,
{0, 1, 2, 3, 4, 5, 6,...}
Z+ denotes the set of positive integer numbers, i.e.,
{1, 2, 3, 4, 5, 6, 7,...}
Transcribed Image Text:Problem 1. Answer True or False. Justify your answers. {2,3} {1, {2}, 3, {1,3}} a) b) __________ {Ø, {0}} = {0, {0, {0}}, {0, {0, {0}}}} c) Notation: {3k +1 | ke Z+} = {3s-2 | s E N} N denotes the set of natural numbers, i.e., {0, 1, 2, 3, 4, 5, 6,...} Z+ denotes the set of positive integer numbers, i.e., {1, 2, 3, 4, 5, 6, 7,...}
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