EBK PRECALCULUS W/LIMITS
EBK PRECALCULUS W/LIMITS
3rd Edition
ISBN: 9781285607160
Author: Larson
Publisher: CENGAGE CO
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Concept explainers

Set Theory
Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.
Question
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Chapter A.1, Problem 9E
To determine

The set of (a) Natural numbers (b) Whole number (c) Integer (d) Rational Number (e) Irrational Number.

From the set of numbers: {2.01,0.6666....,−13,0.010110111....,1,−6}

Expert Solution & Answer
Check Mark

Answer to Problem 9E

For the set of numbers {2.01,0.6666....,−13,0.010110111....,1,−6}

  1. Natural numbers are 1
  2. Whole numbers are 1
  3. Integer numbers are −13,1,−6
  4. Rational numbers are 0.3333,.6666,0.5,0.25
  5. Irrational numbers are 0.010110111

Explanation of Solution

Given information:

The set of numbers: {2.01,0.6666....,−13,0.010110111....,1,−6}

Formula information:

Real numbers are categorized as follows:

  1. Natural numbers are those positive (integers) which start from 1.
  2. Whole number are those positive (integers) which start from 0.
  3. Integers are number which is not a fraction.
  4. Rational numbers are number which are in form of pq where q≠0 .
  5. Irrational numbers are those numbers which cannot be expressed in the form of pq .

Calculation:

Consider the provided set of numbers {2.01,0.6666....,−13,0.010110111....,1,−6}.

Recall the real numbers are categorized as follows:

  1. Natural numbers are those positive (integers) which start from 1. Therefore, Natural number are 1.
  2. Whole number are those positive (integers) which start from 0. Therefore, Whole number are 1.
  3. Integers are number which is not a fraction. Therefore, Integer number are −13,1,−6 .
  4. Rational numbers are number which are in form of pq where q≠0 . Therefore, Rational number are 0.3333,.6666,0.5,0.25 .
  5. Irrational numbers are those numbers which cannot be expressed in the form of pq . Therefore, Irrational number are 0.010110111 .

Thus, for the set of numbers {2.01,0.6666....,−13,0.010110111....,1,−6}

  1. Natural numbers are 1
  2. Whole numbers are 1
  3. Integer numbers are −13,1,−6
  4. Rational numbers are 0.3333,.6666,0.5,0.25
  5. Irrational numbers are 0.010110111
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Chapter A.1, Problem 8E
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Chapter A.1, Problem 10E

Chapter A Solutions

EBK PRECALCULUS W/LIMITS

Ch. A.1 - Prob. 1ECh. A.1 - Prob. 2ECh. A.1 - Prob. 3ECh. A.1 - Prob. 4ECh. A.1 - Prob. 5ECh. A.1 - Prob. 6ECh. A.1 - Prob. 7ECh. A.1 - Prob. 8ECh. A.1 - Prob. 9ECh. A.1 - Prob. 10E
Ch. A.1 - Prob. 11ECh. A.1 - Prob. 12ECh. A.1 - Prob. 13ECh. A.1 - Prob. 14ECh. A.1 - Prob. 15ECh. A.1 - Prob. 16ECh. A.1 - Prob. 17ECh. A.1 - Prob. 18ECh. A.1 - Prob. 19ECh. A.1 - Prob. 20ECh. A.1 - Prob. 21ECh. A.1 - Prob. 22ECh. A.1 - Prob. 23ECh. A.1 - Prob. 24ECh. A.1 - Prob. 25ECh. A.1 - Prob. 26ECh. A.1 - Prob. 27ECh. A.1 - Prob. 28ECh. A.1 - Prob. 29ECh. A.1 - Prob. 30ECh. A.1 - Prob. 31ECh. A.1 - Prob. 32ECh. A.1 - Prob. 33ECh. A.1 - Prob. 34ECh. A.1 - Prob. 35ECh. A.1 - Prob. 36ECh. A.1 - Prob. 37ECh. A.1 - Prob. 38ECh. A.1 - Prob. 39ECh. A.1 - Prob. 40ECh. A.1 - Prob. 41ECh. A.1 - Prob. 42ECh. A.1 - Prob. 43ECh. A.1 - Prob. 44ECh. A.1 - Prob. 45ECh. A.1 - Prob. 46ECh. A.1 - Prob. 47ECh. A.1 - Prob. 48ECh. A.1 - Prob. 49ECh. A.1 - Prob. 50ECh. A.1 - Prob. 51ECh. A.1 - Prob. 52ECh. A.1 - Prob. 53ECh. A.1 - Prob. 54ECh. A.1 - Prob. 55ECh. A.1 - Prob. 56ECh. A.1 - Prob. 57ECh. A.1 - Prob. 58ECh. A.1 - Prob. 59ECh. A.1 - Prob. 60ECh. A.1 - Prob. 61ECh. A.1 - Prob. 62ECh. A.1 - Prob. 63ECh. A.1 - Prob. 64ECh. A.1 - Prob. 65ECh. A.1 - Prob. 66ECh. A.1 - Prob. 67ECh. A.1 - Prob. 68ECh. A.1 - Prob. 69ECh. A.1 - Prob. 70ECh. A.1 - Prob. 71ECh. A.1 - Prob. 72ECh. A.1 - Prob. 73ECh. A.1 - Prob. 74ECh. A.1 - Prob. 75ECh. A.1 - Prob. 76ECh. A.1 - Prob. 77ECh. A.1 - Prob. 78ECh. A.1 - Prob. 79ECh. A.1 - Prob. 80ECh. A.1 - Prob. 81ECh. A.2 - Prob. 1ECh. A.2 - Prob. 2ECh. A.2 - Prob. 3ECh. A.2 - Prob. 4ECh. A.2 - Prob. 5ECh. A.2 - Prob. 6ECh. A.2 - Prob. 7ECh. A.2 - Prob. 8ECh. A.2 - Prob. 9ECh. A.2 - Prob. 10ECh. A.2 - Prob. 11ECh. A.2 - Prob. 12ECh. A.2 - Prob. 13ECh. A.2 - Prob. 14ECh. A.2 - Prob. 15ECh. A.2 - Prob. 16ECh. A.2 - Prob. 17ECh. A.2 - Prob. 18ECh. A.2 - Prob. 19ECh. A.2 - Prob. 20ECh. A.2 - Prob. 21ECh. A.2 - Prob. 22ECh. A.2 - Prob. 23ECh. A.2 - Prob. 24ECh. A.2 - Prob. 25ECh. A.2 - Prob. 26ECh. A.2 - Prob. 27ECh. A.2 - Prob. 28ECh. A.2 - Prob. 29ECh. A.2 - Prob. 30ECh. A.2 - Prob. 31ECh. A.2 - Prob. 32ECh. A.2 - Prob. 33ECh. A.2 - Prob. 34ECh. A.2 - Prob. 35ECh. A.2 - Prob. 36ECh. A.2 - Prob. 37ECh. A.2 - Prob. 38ECh. A.2 - Prob. 39ECh. A.2 - Prob. 40ECh. A.2 - Prob. 41ECh. A.2 - Prob. 42ECh. A.2 - Prob. 43ECh. A.2 - Prob. 44ECh. A.2 - Prob. 45ECh. A.2 - Prob. 46ECh. A.2 - Prob. 47ECh. A.2 - Prob. 48ECh. A.2 - Prob. 49ECh. A.2 - Prob. 50ECh. A.2 - Prob. 51ECh. A.2 - Prob. 52ECh. A.2 - Prob. 53ECh. A.2 - Prob. 54ECh. A.2 - Prob. 55ECh. A.2 - Prob. 56ECh. A.2 - Prob. 57ECh. A.2 - Prob. 58ECh. A.2 - Prob. 59ECh. A.2 - Prob. 60ECh. A.2 - Prob. 61ECh. A.2 - Prob. 62ECh. A.2 - Prob. 63ECh. A.2 - Prob. 64ECh. A.2 - Prob. 65ECh. A.2 - Prob. 66ECh. A.2 - Prob. 67ECh. A.2 - Prob. 68ECh. A.2 - Prob. 69ECh. A.2 - Prob. 70ECh. A.2 - Prob. 71ECh. A.2 - Prob. 72ECh. A.2 - Prob. 73ECh. A.2 - Prob. 74ECh. A.2 - Prob. 75ECh. A.2 - Prob. 76ECh. A.2 - Prob. 77ECh. A.2 - Prob. 78ECh. A.2 - Prob. 79ECh. A.2 - Prob. 80ECh. A.2 - Prob. 81ECh. A.2 - Prob. 82ECh. A.2 - Prob. 83ECh. A.2 - Prob. 84ECh. A.3 - Prob. 1ECh. A.3 - Prob. 2ECh. A.3 - Prob. 3ECh. A.3 - Prob. 4ECh. A.3 - Prob. 5ECh. A.3 - Prob. 6ECh. A.3 - Prob. 7ECh. A.3 - Prob. 8ECh. A.3 - Prob. 9ECh. A.3 - Prob. 10ECh. A.3 - Prob. 11ECh. A.3 - Prob. 12ECh. A.3 - Prob. 13ECh. A.3 - Prob. 14ECh. A.3 - Prob. 15ECh. A.3 - Prob. 16ECh. A.3 - Prob. 17ECh. A.3 - Prob. 18ECh. A.3 - Prob. 19ECh. A.3 - Prob. 20ECh. A.3 - Prob. 21ECh. A.3 - Prob. 22ECh. A.3 - Prob. 23ECh. A.3 - Prob. 24ECh. A.3 - Prob. 25ECh. A.3 - Prob. 26ECh. A.3 - Prob. 27ECh. A.3 - Prob. 28ECh. A.3 - Prob. 29ECh. A.3 - Prob. 30ECh. A.3 - Prob. 31ECh. A.3 - Prob. 32ECh. A.3 - Prob. 33ECh. A.3 - Prob. 34ECh. A.3 - Prob. 35ECh. A.3 - Prob. 36ECh. A.3 - Prob. 37ECh. A.3 - Prob. 38ECh. A.3 - Prob. 39ECh. A.3 - Prob. 40ECh. A.3 - Prob. 41ECh. A.3 - Prob. 42ECh. A.3 - Prob. 43ECh. A.3 - Prob. 44ECh. A.3 - Prob. 45ECh. A.3 - Prob. 46ECh. A.3 - Prob. 47ECh. A.3 - Prob. 48ECh. A.3 - Prob. 49ECh. A.3 - Prob. 50ECh. A.3 - Prob. 51ECh. A.3 - Prob. 52ECh. A.3 - Prob. 53ECh. A.3 - Prob. 54ECh. A.3 - Prob. 55ECh. 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A.3 - Prob. 108ECh. A.4 - Prob. 1ECh. A.4 - Prob. 2ECh. A.4 - Prob. 3ECh. A.4 - Prob. 4ECh. A.4 - Prob. 5ECh. A.4 - Prob. 6ECh. A.4 - Prob. 7ECh. A.4 - Prob. 8ECh. A.4 - Prob. 9ECh. A.4 - Prob. 10ECh. A.4 - Prob. 11ECh. A.4 - Prob. 12ECh. A.4 - Prob. 13ECh. A.4 - Prob. 14ECh. A.4 - Prob. 15ECh. A.4 - Prob. 16ECh. A.4 - Prob. 17ECh. A.4 - Prob. 18ECh. A.4 - Prob. 19ECh. A.4 - Prob. 20ECh. A.4 - Prob. 21ECh. A.4 - Prob. 22ECh. A.4 - Prob. 23ECh. A.4 - Prob. 24ECh. A.4 - Prob. 25ECh. A.4 - Prob. 26ECh. A.4 - Prob. 27ECh. A.4 - Prob. 28ECh. A.4 - Prob. 29ECh. A.4 - Prob. 30ECh. A.4 - Prob. 31ECh. A.4 - Prob. 32ECh. A.4 - Prob. 33ECh. A.4 - Prob. 34ECh. A.4 - Prob. 35ECh. A.4 - Prob. 36ECh. A.4 - Prob. 37ECh. A.4 - Prob. 38ECh. A.4 - Prob. 39ECh. A.4 - Prob. 40ECh. A.4 - Prob. 41ECh. A.4 - Prob. 42ECh. A.4 - Prob. 43ECh. A.4 - Prob. 44ECh. A.4 - Prob. 45ECh. A.4 - Prob. 46ECh. A.4 - Prob. 47ECh. A.4 - Prob. 48ECh. A.4 - Prob. 49ECh. A.4 - Prob. 50ECh. A.4 - Prob. 51ECh. A.4 - Prob. 52ECh. A.4 - Prob. 53ECh. A.4 - Prob. 54ECh. A.4 - Prob. 55ECh. A.4 - Prob. 56ECh. A.4 - Prob. 57ECh. A.4 - Prob. 58ECh. A.4 - Prob. 59ECh. A.4 - Prob. 60ECh. A.4 - Prob. 61ECh. A.4 - Prob. 62ECh. A.4 - Prob. 63ECh. A.4 - Prob. 64ECh. A.4 - Prob. 65ECh. A.4 - Prob. 66ECh. A.4 - Prob. 67ECh. A.4 - Prob. 68ECh. A.4 - Prob. 69ECh. A.4 - Prob. 70ECh. A.4 - Prob. 71ECh. A.4 - Prob. 72ECh. A.4 - Prob. 73ECh. A.4 - Prob. 74ECh. A.4 - Prob. 75ECh. A.4 - Prob. 76ECh. A.4 - Prob. 77ECh. A.4 - Prob. 78ECh. A.4 - Prob. 79ECh. A.4 - Prob. 80ECh. A.4 - Prob. 81ECh. A.4 - Prob. 82ECh. A.5 - Prob. 1ECh. A.5 - Prob. 2ECh. A.5 - Prob. 3ECh. A.5 - Prob. 4ECh. A.5 - Prob. 5ECh. A.5 - Prob. 6ECh. A.5 - Prob. 7ECh. A.5 - Prob. 8ECh. A.5 - Prob. 9ECh. A.5 - Prob. 10ECh. A.5 - Prob. 11ECh. A.5 - Prob. 12ECh. A.5 - Prob. 13ECh. A.5 - Prob. 14ECh. A.5 - Prob. 15ECh. A.5 - Prob. 16ECh. A.5 - Prob. 17ECh. A.5 - Prob. 18ECh. A.5 - Prob. 19ECh. A.5 - Prob. 20ECh. A.5 - Prob. 21ECh. A.5 - Prob. 22ECh. A.5 - Prob. 23ECh. A.5 - Prob. 24ECh. A.5 - Prob. 25ECh. A.5 - Prob. 26ECh. A.5 - Prob. 27ECh. A.5 - Prob. 28ECh. A.5 - Prob. 29ECh. A.5 - Prob. 30ECh. A.5 - Prob. 31ECh. A.5 - Prob. 32ECh. A.5 - Prob. 33ECh. A.5 - Prob. 34ECh. A.5 - Prob. 35ECh. A.5 - Prob. 36ECh. A.5 - Prob. 37ECh. A.5 - Prob. 38ECh. A.5 - Prob. 39ECh. A.5 - Prob. 40ECh. A.5 - Prob. 41ECh. A.5 - Prob. 42ECh. A.5 - Prob. 43ECh. A.5 - Prob. 44ECh. A.5 - Prob. 45ECh. A.5 - Prob. 46ECh. A.5 - Prob. 47ECh. A.5 - Prob. 48ECh. A.5 - Prob. 49ECh. A.5 - Prob. 50ECh. A.5 - Prob. 51ECh. A.5 - Prob. 52ECh. A.5 - Prob. 53ECh. A.5 - Prob. 54ECh. A.5 - Prob. 55ECh. A.5 - Prob. 56ECh. A.5 - Prob. 57ECh. A.5 - Prob. 58ECh. A.5 - Prob. 59ECh. A.5 - Prob. 60ECh. A.5 - Prob. 61ECh. A.5 - Prob. 62ECh. A.5 - Prob. 63ECh. A.5 - Prob. 64ECh. A.5 - Prob. 65ECh. A.5 - Prob. 66ECh. A.5 - Prob. 67ECh. A.5 - Prob. 68ECh. A.5 - Prob. 69ECh. A.5 - Prob. 70ECh. A.5 - Prob. 71ECh. A.5 - Prob. 72ECh. A.5 - Prob. 73ECh. A.5 - Prob. 74ECh. A.5 - Prob. 75ECh. A.5 - Prob. 76ECh. A.5 - Prob. 77ECh. A.5 - Prob. 78ECh. A.5 - Prob. 79ECh. A.5 - Prob. 80ECh. A.5 - Prob. 81ECh. A.5 - Prob. 82ECh. A.5 - Prob. 83ECh. A.5 - Prob. 84ECh. A.5 - Prob. 85ECh. A.5 - Prob. 86ECh. A.5 - Prob. 87ECh. A.5 - Prob. 88ECh. A.5 - Prob. 89ECh. A.5 - Prob. 90ECh. A.5 - Prob. 91ECh. A.5 - Prob. 92ECh. A.5 - Prob. 93ECh. A.5 - Prob. 94ECh. A.5 - Prob. 95ECh. A.5 - Prob. 96ECh. A.5 - Prob. 97ECh. A.5 - Prob. 98ECh. A.5 - Prob. 99ECh. A.5 - Prob. 100ECh. A.6 - Prob. 1ECh. A.6 - Prob. 2ECh. A.6 - Prob. 3ECh. A.6 - Prob. 4ECh. A.6 - Prob. 5ECh. A.6 - Prob. 6ECh. A.6 - Prob. 7ECh. A.6 - Prob. 8ECh. A.6 - Prob. 9ECh. A.6 - Prob. 10ECh. A.6 - Prob. 11ECh. A.6 - Prob. 12ECh. A.6 - Prob. 13ECh. A.6 - Prob. 14ECh. A.6 - Prob. 15ECh. A.6 - Prob. 16ECh. A.6 - Prob. 17ECh. A.6 - Prob. 18ECh. A.6 - Prob. 19ECh. A.6 - Prob. 20ECh. A.6 - Prob. 21ECh. A.6 - Prob. 22ECh. A.6 - Prob. 23ECh. A.6 - Prob. 24ECh. A.6 - Prob. 25ECh. A.6 - Prob. 26ECh. A.6 - Prob. 27ECh. A.6 - Prob. 28ECh. A.6 - Prob. 29ECh. A.6 - Prob. 30ECh. A.6 - Prob. 31ECh. A.6 - Prob. 32ECh. A.6 - Prob. 33ECh. A.6 - Prob. 34ECh. A.6 - Prob. 35ECh. A.6 - Prob. 36ECh. A.6 - Prob. 37ECh. A.6 - Prob. 38ECh. A.6 - Prob. 39ECh. A.6 - Prob. 40ECh. A.6 - Prob. 41ECh. A.6 - Prob. 42ECh. A.6 - Prob. 43ECh. A.6 - Prob. 44ECh. A.6 - Prob. 45ECh. A.6 - Prob. 46ECh. A.6 - Prob. 47ECh. A.6 - Prob. 48ECh. A.6 - Prob. 49ECh. A.6 - Prob. 50ECh. A.6 - Prob. 51ECh. A.6 - Prob. 52ECh. A.6 - Prob. 53ECh. A.6 - Prob. 54ECh. A.6 - Prob. 55ECh. A.6 - Prob. 56ECh. A.6 - Prob. 57ECh. A.6 - Prob. 58ECh. A.6 - Prob. 59ECh. A.6 - Prob. 60ECh. A.6 - Prob. 61ECh. A.6 - Prob. 62ECh. A.6 - Prob. 63ECh. A.6 - Prob. 64ECh. A.6 - Prob. 65ECh. A.6 - Prob. 66ECh. A.6 - Prob. 67ECh. A.6 - Prob. 68ECh. A.6 - Prob. 69ECh. A.6 - Prob. 70ECh. A.6 - Prob. 71ECh. A.6 - Prob. 72ECh. A.6 - Prob. 73ECh. A.6 - Prob. 74ECh. A.6 - Prob. 75ECh. A.6 - Prob. 76ECh. A.6 - Prob. 77ECh. A.6 - Prob. 78ECh. A.6 - Prob. 79ECh. A.6 - Prob. 80ECh. A.6 - Prob. 81ECh. A.6 - Prob. 82ECh. A.6 - Prob. 83ECh. A.6 - Prob. 84ECh. A.6 - Prob. 85ECh. A.6 - Prob. 86ECh. A.6 - Prob. 87ECh. A.6 - Prob. 88ECh. A.6 - Prob. 89ECh. A.6 - Prob. 90ECh. A.6 - Prob. 91ECh. A.6 - Prob. 92ECh. A.6 - Prob. 93ECh. A.6 - Prob. 94ECh. A.6 - Prob. 95ECh. A.6 - Prob. 96ECh. A.6 - Prob. 97ECh. A.6 - Prob. 98ECh. A.6 - Prob. 99ECh. A.6 - Prob. 100ECh. A.6 - Prob. 101ECh. A.6 - Prob. 102ECh. A.6 - Prob. 103ECh. A.6 - Prob. 104ECh. A.6 - Prob. 105ECh. A.6 - Prob. 106ECh. A.6 - Prob. 107ECh. A.6 - Prob. 108ECh. A.6 - Prob. 109ECh. A.6 - Prob. 110ECh. A.6 - Prob. 111ECh. A.6 - Prob. 112ECh. A.6 - Prob. 113ECh. A.6 - Prob. 114ECh. A.6 - Prob. 115ECh. A.6 - Prob. 116ECh. A.6 - Prob. 117ECh. A.6 - Prob. 118ECh. A.7 - Prob. 1ECh. A.7 - Prob. 2ECh. A.7 - Prob. 3ECh. A.7 - Prob. 4ECh. A.7 - Prob. 5ECh. A.7 - Prob. 6ECh. A.7 - Prob. 7ECh. A.7 - Prob. 8ECh. A.7 - Prob. 9ECh. A.7 - Prob. 10ECh. A.7 - Prob. 11ECh. A.7 - Prob. 12ECh. A.7 - Prob. 13ECh. A.7 - Prob. 14ECh. A.7 - Prob. 15ECh. A.7 - Prob. 16ECh. A.7 - Prob. 17ECh. A.7 - Prob. 18ECh. A.7 - Prob. 19ECh. A.7 - Prob. 20ECh. A.7 - Prob. 21ECh. A.7 - Prob. 22ECh. A.7 - Prob. 23ECh. A.7 - Prob. 24ECh. A.7 - Prob. 25ECh. A.7 - Prob. 26ECh. A.7 - Prob. 27ECh. A.7 - Prob. 28ECh. A.7 - Prob. 29ECh. A.7 - Prob. 30ECh. A.7 - Prob. 31ECh. A.7 - Prob. 32ECh. A.7 - Prob. 33ECh. A.7 - Prob. 34ECh. A.7 - Prob. 35ECh. A.7 - Prob. 36ECh. A.7 - Prob. 37ECh. A.7 - Prob. 38ECh. A.7 - Prob. 39ECh. A.7 - Prob. 40ECh. A.7 - Prob. 41ECh. A.7 - Prob. 42ECh. A.7 - Prob. 43ECh. A.7 - Prob. 44ECh. A.7 - Prob. 45ECh. A.7 - Prob. 46ECh. A.7 - Prob. 47ECh. A.7 - Prob. 48ECh. A.7 - Prob. 49ECh. A.7 - Prob. 50ECh. A.7 - Prob. 51ECh. A.7 - Prob. 52ECh. A.7 - Prob. 53ECh. A.7 - Prob. 54ECh. A.7 - Prob. 55ECh. A.7 - Prob. 56ECh. A.7 - Prob. 57ECh. A.7 - Prob. 58ECh. A.7 - Prob. 59ECh. A.7 - Prob. 60ECh. A.7 - Prob. 61ECh. A.7 - Prob. 62ECh. A.7 - Prob. 63ECh. A.7 - Prob. 64ECh. A.7 - Prob. 65ECh. A.7 - Prob. 66ECh. A.7 - Prob. 67ECh. A.7 - Prob. 68ECh. A.7 - Prob. 69ECh. A.7 - Prob. 70ECh. A.7 - Prob. 71ECh. A.7 - Prob. 72E
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