Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN: 9780079039897
Author: Carter
Publisher: McGraw Hill
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Chapter 5.5, Problem 47HP
To determine

To explain: whether an absolute value inequality uses a compound inequality with and or a compound inequality with or and to solve absolute value inequalities.

Expert Solution & Answer
Check Mark

Explanation of Solution

Union represents the logical operator. For example:

Consider the absolute value inequality,

  |c|≥8

Now, solve the absolute value inequality as shown,

  |c|≥8c≥8 or c≤−8

Hence, the solution of the inequality is c≥8 or c≤−8 .

No numbers can be there which are at the same time lesser than −8 and greater than 8,

So, the statement cannot be connected by the word ‘and’ instead of ‘or’.

So, Compound inequality with ‘or’ is the union of the solution sets of the two inequalities.

Intersection represents the logical operator ‘and’. For example:

Consider the absolute value inequality,

  |c|≤8

Now, solve the absolute value inequality as shown,

  |c|≤8c≤8 and c≥−8

Hence, the solution of the inequality is c≤8 and c≥−8 .

No numbers can be there which are at the same time greater than −8 and lesser than 8,

So, the statement is connected by the word ‘and’ instead of ‘or’.

So, Compound inequality with ‘and’ is the intersection of the solution sets of the two inequalities.

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Chapter 5.5, Problem 46HP
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Chapter 5.5, Problem 48PFA

Chapter 5 Solutions

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

Ch. 5.1 - Prob. 1AGPCh. 5.1 - Prob. 1BGPCh. 5.1 - Prob. 2AGPCh. 5.1 - Prob. 3AGPCh. 5.1 - Prob. 3BGPCh. 5.1 - Prob. 4GPCh. 5.1 - Prob. 1CYUCh. 5.1 - Prob. 2CYUCh. 5.1 - Prob. 3CYUCh. 5.1 - Prob. 4CYU
Ch. 5.1 - Prob. 5CYUCh. 5.1 - Prob. 6CYUCh. 5.1 - Prob. 7CYUCh. 5.1 - Prob. 8CYUCh. 5.1 - Prob. 9CYUCh. 5.1 - Prob. 10CYUCh. 5.1 - Prob. 11CYUCh. 5.1 - Prob. 12PPSCh. 5.1 - Prob. 13PPSCh. 5.1 - Prob. 14PPSCh. 5.1 - Prob. 15PPSCh. 5.1 - Prob. 16PPSCh. 5.1 - Prob. 17PPSCh. 5.1 - Prob. 18PPSCh. 5.1 - Prob. 19PPSCh. 5.1 - Prob. 20PPSCh. 5.1 - Prob. 21PPSCh. 5.1 - Prob. 22PPSCh. 5.1 - Prob. 23PPSCh. 5.1 - Prob. 24PPSCh. 5.1 - Prob. 25PPSCh. 5.1 - Prob. 26PPSCh. 5.1 - Prob. 27PPSCh. 5.1 - Prob. 28PPSCh. 5.1 - Prob. 29PPSCh. 5.1 - Prob. 30PPSCh. 5.1 - Prob. 31PPSCh. 5.1 - Prob. 32PPSCh. 5.1 - Prob. 33PPSCh. 5.1 - Prob. 34PPSCh. 5.1 - Prob. 35PPSCh. 5.1 - Prob. 36PPSCh. 5.1 - Prob. 37PPSCh. 5.1 - Prob. 38PPSCh. 5.1 - Prob. 39PPSCh. 5.1 - Prob. 40PPSCh. 5.1 - Prob. 41PPSCh. 5.1 - Prob. 42PPSCh. 5.1 - Prob. 43PPSCh. 5.1 - Prob. 44PPSCh. 5.1 - Prob. 45PPSCh. 5.1 - Prob. 46PPSCh. 5.1 - Prob. 47PPSCh. 5.1 - Prob. 48PPSCh. 5.1 - Prob. 49PPSCh. 5.1 - Prob. 50PPSCh. 5.1 - Prob. 51PPSCh. 5.1 - Prob. 52HPCh. 5.1 - Prob. 53HPCh. 5.1 - Prob. 54HPCh. 5.1 - Prob. 55HPCh. 5.1 - Prob. 56HPCh. 5.1 - Prob. 57PFACh. 5.1 - Prob. 58PFACh. 5.1 - Prob. 59PFACh. 5.1 - Prob. 60PFACh. 5.1 - Prob. 61PFACh. 5.1 - Prob. 62PFACh. 5.2 - Prob. 1GPCh. 5.2 - Prob. 2AGPCh. 5.2 - Prob. 2BGPCh. 5.2 - Prob. 2CGPCh. 5.2 - Prob. 2DGPCh. 5.2 - Prob. 3AGPCh. 5.2 - Prob. 3BGPCh. 5.2 - Prob. 3CGPCh. 5.2 - Prob. 3DGPCh. 5.2 - Prob. 1CYUCh. 5.2 - Prob. 2CYUCh. 5.2 - Prob. 3CYUCh. 5.2 - Prob. 4CYUCh. 5.2 - Prob. 5CYUCh. 5.2 - Prob. 6CYUCh. 5.2 - Prob. 7CYUCh. 5.2 - Prob. 8CYUCh. 5.2 - Prob. 9CYUCh. 5.2 - Prob. 10PPSCh. 5.2 - Prob. 11PPSCh. 5.2 - Prob. 12PPSCh. 5.2 - Prob. 13PPSCh. 5.2 - Prob. 14PPSCh. 5.2 - Prob. 15PPSCh. 5.2 - Prob. 16PPSCh. 5.2 - Prob. 17PPSCh. 5.2 - Prob. 18PPSCh. 5.2 - Prob. 19PPSCh. 5.2 - Prob. 20PPSCh. 5.2 - Prob. 21PPSCh. 5.2 - Prob. 22PPSCh. 5.2 - Prob. 23PPSCh. 5.2 - Prob. 24PPSCh. 5.2 - Prob. 25PPSCh. 5.2 - Prob. 26PPSCh. 5.2 - Prob. 27PPSCh. 5.2 - Prob. 28PPSCh. 5.2 - Prob. 29PPSCh. 5.2 - Prob. 30PPSCh. 5.2 - Prob. 31PPSCh. 5.2 - Prob. 32PPSCh. 5.2 - Prob. 33PPSCh. 5.2 - Prob. 34PPSCh. 5.2 - Prob. 35PPSCh. 5.2 - Prob. 36PPSCh. 5.2 - Prob. 37PPSCh. 5.2 - Prob. 38PPSCh. 5.2 - Prob. 39PPSCh. 5.2 - Prob. 40PPSCh. 5.2 - Prob. 41PPSCh. 5.2 - Prob. 42HPCh. 5.2 - Prob. 43HPCh. 5.2 - Prob. 44HPCh. 5.2 - Prob. 45HPCh. 5.2 - Prob. 46HPCh. 5.2 - Prob. 47HPCh. 5.2 - Prob. 48PFACh. 5.2 - Prob. 49PFACh. 5.2 - Prob. 50PFACh. 5.2 - Prob. 51PFACh. 5.2 - Prob. 52PFACh. 5.2 - Prob. 53PFACh. 5.2 - Prob. 54PFACh. 5.2 - Prob. 55PFACh. 5.3 - Prob. 1GPCh. 5.3 - Prob. 2AGPCh. 5.3 - Prob. 2BGPCh. 5.3 - Prob. 3GPCh. 5.3 - Prob. 4AGPCh. 5.3 - Prob. 4BGPCh. 5.3 - Prob. 5AGPCh. 5.3 - Prob. 5BGPCh. 5.3 - Prob. 1CYUCh. 5.3 - Prob. 2CYUCh. 5.3 - Prob. 3CYUCh. 5.3 - Prob. 4CYUCh. 5.3 - Prob. 5CYUCh. 5.3 - Prob. 6CYUCh. 5.3 - Prob. 7CYUCh. 5.3 - Prob. 8CYUCh. 5.3 - Prob. 9CYUCh. 5.3 - Prob. 10CYUCh. 5.3 - Prob. 11CYUCh. 5.3 - Prob. 12PPSCh. 5.3 - Prob. 13PPSCh. 5.3 - Prob. 14PPSCh. 5.3 - Prob. 15PPSCh. 5.3 - Prob. 16PPSCh. 5.3 - Prob. 17PPSCh. 5.3 - Prob. 18PPSCh. 5.3 - Prob. 19PPSCh. 5.3 - Prob. 20PPSCh. 5.3 - Prob. 21PPSCh. 5.3 - Prob. 22PPSCh. 5.3 - Prob. 23PPSCh. 5.3 - Prob. 24PPSCh. 5.3 - Prob. 25PPSCh. 5.3 - Prob. 26PPSCh. 5.3 - Prob. 27PPSCh. 5.3 - Prob. 28PPSCh. 5.3 - Prob. 29PPSCh. 5.3 - Prob. 30PPSCh. 5.3 - Prob. 31PPSCh. 5.3 - Prob. 32PPSCh. 5.3 - Prob. 33PPSCh. 5.3 - Prob. 34PPSCh. 5.3 - Prob. 35PPSCh. 5.3 - Prob. 36PPSCh. 5.3 - Prob. 37PPSCh. 5.3 - Prob. 38PPSCh. 5.3 - Prob. 39PPSCh. 5.3 - Prob. 40PPSCh. 5.3 - Prob. 41PPSCh. 5.3 - Prob. 42PPSCh. 5.3 - Prob. 43PPSCh. 5.3 - Prob. 44PPSCh. 5.3 - Prob. 45PPSCh. 5.3 - Prob. 46PPSCh. 5.3 - Prob. 47PPSCh. 5.3 - Prob. 48PPSCh. 5.3 - Prob. 49PPSCh. 5.3 - Prob. 50PPSCh. 5.3 - Prob. 51PPSCh. 5.3 - Prob. 52PPSCh. 5.3 - Prob. 53PPSCh. 5.3 - Prob. 54PPSCh. 5.3 - Prob. 55HPCh. 5.3 - Prob. 56HPCh. 5.3 - Prob. 57HPCh. 5.3 - Prob. 58HPCh. 5.3 - Prob. 59HPCh. 5.3 - Prob. 60PFACh. 5.3 - Prob. 61PFACh. 5.3 - Prob. 62PFACh. 5.3 - Prob. 63PFACh. 5.3 - Prob. 64PFACh. 5.3 - Prob. 65PFACh. 5.4 - Prob. 1AGPCh. 5.4 - Prob. 1BGPCh. 5.4 - Prob. 2GPCh. 5.4 - Prob. 3AGPCh. 5.4 - Prob. 3BGPCh. 5.4 - Prob. 1CYUCh. 5.4 - Prob. 2CYUCh. 5.4 - Prob. 3CYUCh. 5.4 - Prob. 4CYUCh. 5.4 - Prob. 5CYUCh. 5.4 - Prob. 6PPSCh. 5.4 - Prob. 7PPSCh. 5.4 - Prob. 8PPSCh. 5.4 - Prob. 9PPSCh. 5.4 - Prob. 10PPSCh. 5.4 - Prob. 11PPSCh. 5.4 - Prob. 12PPSCh. 5.4 - Prob. 13PPSCh. 5.4 - Prob. 14PPSCh. 5.4 - Prob. 15PPSCh. 5.4 - Prob. 16PPSCh. 5.4 - Prob. 17PPSCh. 5.4 - Prob. 18PPSCh. 5.4 - Prob. 19PPSCh. 5.4 - Prob. 20PPSCh. 5.4 - Prob. 21PPSCh. 5.4 - Prob. 22PPSCh. 5.4 - Prob. 23PPSCh. 5.4 - Prob. 24PPSCh. 5.4 - Prob. 25PPSCh. 5.4 - Prob. 26PPSCh. 5.4 - Prob. 27PPSCh. 5.4 - Prob. 28PPSCh. 5.4 - Prob. 29PPSCh. 5.4 - Prob. 30PPSCh. 5.4 - Prob. 31PPSCh. 5.4 - Prob. 32PPSCh. 5.4 - Prob. 33PPSCh. 5.4 - Prob. 34PPSCh. 5.4 - Prob. 35PPSCh. 5.4 - Prob. 36PPSCh. 5.4 - Prob. 37PPSCh. 5.4 - Prob. 38PPSCh. 5.4 - Prob. 39HPCh. 5.4 - Prob. 40HPCh. 5.4 - Prob. 41HPCh. 5.4 - Prob. 42HPCh. 5.4 - Prob. 43HPCh. 5.4 - Prob. 44PFACh. 5.4 - Prob. 45PFACh. 5.4 - Prob. 46PFACh. 5.4 - Prob. 47PFACh. 5.4 - Prob. 48PFACh. 5.4 - Prob. 49PFACh. 5.4 - Prob. 50PFACh. 5.5 - Prob. 1AGPCh. 5.5 - Prob. 1BGPCh. 5.5 - Prob. 2GPCh. 5.5 - Prob. 3AGPCh. 5.5 - Prob. 3BGPCh. 5.5 - Prob. 1CYUCh. 5.5 - Prob. 2CYUCh. 5.5 - Prob. 3CYUCh. 5.5 - Prob. 4CYUCh. 5.5 - Prob. 5CYUCh. 5.5 - Prob. 6CYUCh. 5.5 - Prob. 7CYUCh. 5.5 - Prob. 8PPSCh. 5.5 - Prob. 9PPSCh. 5.5 - Prob. 10PPSCh. 5.5 - Prob. 11PPSCh. 5.5 - Prob. 12PPSCh. 5.5 - Prob. 13PPSCh. 5.5 - Prob. 14PPSCh. 5.5 - Prob. 15PPSCh. 5.5 - Prob. 16PPSCh. 5.5 - Prob. 17PPSCh. 5.5 - Prob. 18PPSCh. 5.5 - Prob. 19PPSCh. 5.5 - Prob. 20PPSCh. 5.5 - Prob. 21PPSCh. 5.5 - Prob. 22PPSCh. 5.5 - Prob. 23PPSCh. 5.5 - Prob. 24PPSCh. 5.5 - Prob. 25PPSCh. 5.5 - Prob. 26PPSCh. 5.5 - Prob. 27PPSCh. 5.5 - Prob. 28PPSCh. 5.5 - Prob. 29PPSCh. 5.5 - Prob. 30PPSCh. 5.5 - Prob. 31PPSCh. 5.5 - Prob. 32PPSCh. 5.5 - Prob. 33PPSCh. 5.5 - Prob. 34PPSCh. 5.5 - Prob. 35PPSCh. 5.5 - Prob. 36PPSCh. 5.5 - Prob. 37PPSCh. 5.5 - Prob. 38PPSCh. 5.5 - Prob. 39PPSCh. 5.5 - Prob. 40PPSCh. 5.5 - Prob. 41PPSCh. 5.5 - Prob. 42PPSCh. 5.5 - Prob. 43HPCh. 5.5 - Prob. 44HPCh. 5.5 - Prob. 45HPCh. 5.5 - Prob. 46HPCh. 5.5 - Prob. 47HPCh. 5.5 - Prob. 48PFACh. 5.5 - Prob. 49PFACh. 5.5 - Prob. 50PFACh. 5.5 - Prob. 51PFACh. 5.5 - Prob. 52PFACh. 5.5 - Prob. 53PFACh. 5.5 - Prob. 54PFACh. 5.5 - Prob. 55PFACh. 5.6 - Prob. 1AGPCh. 5.6 - Prob. 1BGPCh. 5.6 - Prob. 2AGPCh. 5.6 - Prob. 2BGPCh. 5.6 - Prob. 3GPCh. 5.6 - Prob. 4GPCh. 5.6 - Prob. 1CYUCh. 5.6 - Prob. 2CYUCh. 5.6 - Prob. 3CYUCh. 5.6 - Prob. 4CYUCh. 5.6 - Prob. 5CYUCh. 5.6 - Prob. 6CYUCh. 5.6 - Prob. 7CYUCh. 5.6 - Prob. 8CYUCh. 5.6 - Prob. 9CYUCh. 5.6 - Prob. 10PPSCh. 5.6 - Prob. 11PPSCh. 5.6 - Prob. 12PPSCh. 5.6 - Prob. 13PPSCh. 5.6 - Prob. 14PPSCh. 5.6 - Prob. 15PPSCh. 5.6 - Prob. 16PPSCh. 5.6 - Prob. 17PPSCh. 5.6 - Prob. 18PPSCh. 5.6 - Prob. 19PPSCh. 5.6 - Prob. 20PPSCh. 5.6 - Prob. 21PPSCh. 5.6 - Prob. 22PPSCh. 5.6 - Prob. 23PPSCh. 5.6 - Prob. 24PPSCh. 5.6 - Prob. 25PPSCh. 5.6 - Prob. 26PPSCh. 5.6 - Prob. 27PPSCh. 5.6 - Prob. 28PPSCh. 5.6 - Prob. 29PPSCh. 5.6 - Prob. 30PPSCh. 5.6 - Prob. 31PPSCh. 5.6 - Prob. 32PPSCh. 5.6 - Prob. 33PPSCh. 5.6 - Prob. 34PPSCh. 5.6 - Prob. 35PPSCh. 5.6 - Prob. 36PPSCh. 5.6 - Prob. 37PPSCh. 5.6 - Prob. 38HPCh. 5.6 - Prob. 39HPCh. 5.6 - Prob. 40HPCh. 5.6 - Prob. 41HPCh. 5.6 - Prob. 42PFACh. 5.6 - Prob. 43PFACh. 5.6 - Prob. 44PFACh. 5.6 - Prob. 45PFACh. 5.6 - Prob. 46PFACh. 5.6 - Prob. 47PFACh. 5 - Prob. 1MCQCh. 5 - Prob. 2MCQCh. 5 - Prob. 3MCQCh. 5 - Prob. 4MCQCh. 5 - Prob. 5MCQCh. 5 - Prob. 6MCQCh. 5 - Prob. 7MCQCh. 5 - Prob. 8MCQCh. 5 - Prob. 9MCQCh. 5 - Prob. 10MCQCh. 5 - Prob. 11MCQCh. 5 - Prob. 12MCQCh. 5 - Prob. 13MCQCh. 5 - Prob. 14MCQCh. 5 - Prob. 15MCQCh. 5 - Prob. 16MCQCh. 5 - Prob. 17MCQCh. 5 - Prob. 18MCQCh. 5 - Prob. 19MCQCh. 5 - Prob. 20MCQCh. 5 - Prob. 21MCQCh. 5 - Prob. 22MCQCh. 5 - Prob. 23MCQCh. 5 - Prob. 24MCQCh. 5 - Prob. 25MCQCh. 5 - Prob. 26MCQCh. 5 - Prob. 27MCQCh. 5 - Prob. 1SGRCh. 5 - Prob. 2SGRCh. 5 - Prob. 3SGRCh. 5 - Prob. 4SGRCh. 5 - Prob. 5SGRCh. 5 - Prob. 6SGRCh. 5 - Prob. 7SGRCh. 5 - Prob. 8SGRCh. 5 - Prob. 9SGRCh. 5 - Prob. 10SGRCh. 5 - Prob. 11SGRCh. 5 - Prob. 12SGRCh. 5 - Prob. 13SGRCh. 5 - Prob. 14SGRCh. 5 - Prob. 15SGRCh. 5 - Prob. 16SGRCh. 5 - Prob. 17SGRCh. 5 - Prob. 18SGRCh. 5 - Prob. 19SGRCh. 5 - Prob. 20SGRCh. 5 - Prob. 21SGRCh. 5 - Prob. 22SGRCh. 5 - Prob. 23SGRCh. 5 - Prob. 24SGRCh. 5 - Prob. 25SGRCh. 5 - Prob. 26SGRCh. 5 - Prob. 27SGRCh. 5 - Prob. 28SGRCh. 5 - Prob. 29SGRCh. 5 - Prob. 30SGRCh. 5 - Prob. 31SGRCh. 5 - Prob. 32SGRCh. 5 - Prob. 33SGRCh. 5 - Prob. 34SGRCh. 5 - Prob. 35SGRCh. 5 - Prob. 36SGRCh. 5 - Prob. 37SGRCh. 5 - Prob. 38SGRCh. 5 - Prob. 39SGRCh. 5 - Prob. 40SGRCh. 5 - Prob. 41SGRCh. 5 - Prob. 42SGRCh. 5 - Prob. 43SGRCh. 5 - Prob. 44SGRCh. 5 - Prob. 45SGRCh. 5 - Prob. 46SGRCh. 5 - Prob. 47SGRCh. 5 - Prob. 48SGRCh. 5 - Prob. 49SGRCh. 5 - Prob. 50SGRCh. 5 - Prob. 51SGRCh. 5 - Prob. 52SGRCh. 5 - Prob. 1PTCh. 5 - Prob. 2PTCh. 5 - Prob. 3PTCh. 5 - Prob. 4PTCh. 5 - Prob. 5PTCh. 5 - Prob. 6PTCh. 5 - Prob. 7PTCh. 5 - Prob. 8PTCh. 5 - Prob. 9PTCh. 5 - Prob. 10PTCh. 5 - Prob. 11PTCh. 5 - Prob. 12PTCh. 5 - Prob. 13PTCh. 5 - Prob. 14PTCh. 5 - Prob. 15PTCh. 5 - Prob. 16PTCh. 5 - Prob. 17PTCh. 5 - Prob. 18PTCh. 5 - Prob. 19PTCh. 5 - Prob. 20PTCh. 5 - Prob. 21PTCh. 5 - Prob. 22PTCh. 5 - Prob. 23PTCh. 5 - Prob. 24PTCh. 5 - Prob. 25PTCh. 5 - Prob. 26PTCh. 5 - Prob. 1PFACh. 5 - Prob. 2PFACh. 5 - Prob. 3PFACh. 5 - Prob. 4PFACh. 5 - Prob. 5PFACh. 5 - Prob. 6PFACh. 5 - Prob. 7PFACh. 5 - Prob. 8PFACh. 5 - Prob. 9PFACh. 5 - Prob. 10PFACh. 5 - Prob. 11PFACh. 5 - Prob. 12PFA

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