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High School Math Algebra Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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

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

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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Question

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

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.

Chapter 5.5, Problem 46HP

Chapter 5.5, Problem 48PFA

Chapter 5 Solutions

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

Ch. 5.1 - Prob. 1AGP Ch. 5.1 - Prob. 1BGP Ch. 5.1 - Prob. 2AGP Ch. 5.1 - Prob. 3AGP Ch. 5.1 - Prob. 3BGP Ch. 5.1 - Prob. 4GP Ch. 5.1 - Prob. 1CYU Ch. 5.1 - Prob. 2CYU Ch. 5.1 - Prob. 3CYU Ch. 5.1 - Prob. 4CYU

Ch. 5.1 - Prob. 5CYU Ch. 5.1 - Prob. 6CYU Ch. 5.1 - Prob. 7CYU Ch. 5.1 - Prob. 8CYU Ch. 5.1 - Prob. 9CYU Ch. 5.1 - Prob. 10CYU Ch. 5.1 - Prob. 11CYU Ch. 5.1 - Prob. 12PPS Ch. 5.1 - Prob. 13PPS Ch. 5.1 - Prob. 14PPS Ch. 5.1 - Prob. 15PPS Ch. 5.1 - Prob. 16PPS Ch. 5.1 - Prob. 17PPS Ch. 5.1 - Prob. 18PPS Ch. 5.1 - Prob. 19PPS Ch. 5.1 - Prob. 20PPS Ch. 5.1 - Prob. 21PPS Ch. 5.1 - Prob. 22PPS Ch. 5.1 - Prob. 23PPS Ch. 5.1 - Prob. 24PPS Ch. 5.1 - Prob. 25PPS Ch. 5.1 - Prob. 26PPS Ch. 5.1 - Prob. 27PPS Ch. 5.1 - Prob. 28PPS Ch. 5.1 - Prob. 29PPS Ch. 5.1 - Prob. 30PPS Ch. 5.1 - Prob. 31PPS Ch. 5.1 - Prob. 32PPS Ch. 5.1 - Prob. 33PPS Ch. 5.1 - Prob. 34PPS Ch. 5.1 - Prob. 35PPS Ch. 5.1 - Prob. 36PPS Ch. 5.1 - Prob. 37PPS Ch. 5.1 - Prob. 38PPS Ch. 5.1 - Prob. 39PPS Ch. 5.1 - Prob. 40PPS Ch. 5.1 - Prob. 41PPS Ch. 5.1 - Prob. 42PPS Ch. 5.1 - Prob. 43PPS Ch. 5.1 - Prob. 44PPS Ch. 5.1 - Prob. 45PPS Ch. 5.1 - Prob. 46PPS Ch. 5.1 - Prob. 47PPS Ch. 5.1 - Prob. 48PPS Ch. 5.1 - Prob. 49PPS Ch. 5.1 - Prob. 50PPS Ch. 5.1 - Prob. 51PPS Ch. 5.1 - Prob. 52HP Ch. 5.1 - Prob. 53HP Ch. 5.1 - Prob. 54HP Ch. 5.1 - Prob. 55HP Ch. 5.1 - Prob. 56HP Ch. 5.1 - Prob. 57PFA Ch. 5.1 - Prob. 58PFA Ch. 5.1 - Prob. 59PFA Ch. 5.1 - Prob. 60PFA Ch. 5.1 - Prob. 61PFA Ch. 5.1 - Prob. 62PFA Ch. 5.2 - Prob. 1GP Ch. 5.2 - Prob. 2AGP Ch. 5.2 - Prob. 2BGP Ch. 5.2 - Prob. 2CGP Ch. 5.2 - Prob. 2DGP Ch. 5.2 - Prob. 3AGP Ch. 5.2 - Prob. 3BGP Ch. 5.2 - Prob. 3CGP Ch. 5.2 - Prob. 3DGP Ch. 5.2 - Prob. 1CYU Ch. 5.2 - Prob. 2CYU Ch. 5.2 - Prob. 3CYU Ch. 5.2 - Prob. 4CYU Ch. 5.2 - Prob. 5CYU Ch. 5.2 - Prob. 6CYU Ch. 5.2 - Prob. 7CYU Ch. 5.2 - Prob. 8CYU Ch. 5.2 - Prob. 9CYU Ch. 5.2 - Prob. 10PPS Ch. 5.2 - Prob. 11PPS Ch. 5.2 - Prob. 12PPS Ch. 5.2 - Prob. 13PPS Ch. 5.2 - Prob. 14PPS Ch. 5.2 - Prob. 15PPS Ch. 5.2 - Prob. 16PPS Ch. 5.2 - Prob. 17PPS Ch. 5.2 - Prob. 18PPS Ch. 5.2 - Prob. 19PPS Ch. 5.2 - Prob. 20PPS Ch. 5.2 - Prob. 21PPS Ch. 5.2 - Prob. 22PPS Ch. 5.2 - Prob. 23PPS Ch. 5.2 - Prob. 24PPS Ch. 5.2 - Prob. 25PPS Ch. 5.2 - Prob. 26PPS Ch. 5.2 - Prob. 27PPS Ch. 5.2 - Prob. 28PPS Ch. 5.2 - Prob. 29PPS Ch. 5.2 - Prob. 30PPS Ch. 5.2 - Prob. 31PPS Ch. 5.2 - Prob. 32PPS Ch. 5.2 - Prob. 33PPS Ch. 5.2 - Prob. 34PPS Ch. 5.2 - Prob. 35PPS Ch. 5.2 - Prob. 36PPS Ch. 5.2 - Prob. 37PPS Ch. 5.2 - Prob. 38PPS Ch. 5.2 - Prob. 39PPS Ch. 5.2 - Prob. 40PPS Ch. 5.2 - Prob. 41PPS Ch. 5.2 - Prob. 42HP Ch. 5.2 - Prob. 43HP Ch. 5.2 - Prob. 44HP Ch. 5.2 - Prob. 45HP Ch. 5.2 - Prob. 46HP Ch. 5.2 - Prob. 47HP Ch. 5.2 - Prob. 48PFA Ch. 5.2 - Prob. 49PFA Ch. 5.2 - Prob. 50PFA Ch. 5.2 - Prob. 51PFA Ch. 5.2 - Prob. 52PFA Ch. 5.2 - Prob. 53PFA Ch. 5.2 - Prob. 54PFA Ch. 5.2 - Prob. 55PFA Ch. 5.3 - Prob. 1GP Ch. 5.3 - Prob. 2AGP Ch. 5.3 - Prob. 2BGP Ch. 5.3 - Prob. 3GP Ch. 5.3 - Prob. 4AGP Ch. 5.3 - Prob. 4BGP Ch. 5.3 - Prob. 5AGP Ch. 5.3 - Prob. 5BGP Ch. 5.3 - Prob. 1CYU Ch. 5.3 - Prob. 2CYU Ch. 5.3 - Prob. 3CYU Ch. 5.3 - Prob. 4CYU Ch. 5.3 - Prob. 5CYU Ch. 5.3 - Prob. 6CYU Ch. 5.3 - Prob. 7CYU Ch. 5.3 - Prob. 8CYU Ch. 5.3 - Prob. 9CYU Ch. 5.3 - Prob. 10CYU Ch. 5.3 - Prob. 11CYU Ch. 5.3 - Prob. 12PPS Ch. 5.3 - Prob. 13PPS Ch. 5.3 - Prob. 14PPS Ch. 5.3 - Prob. 15PPS Ch. 5.3 - Prob. 16PPS Ch. 5.3 - Prob. 17PPS Ch. 5.3 - Prob. 18PPS Ch. 5.3 - Prob. 19PPS Ch. 5.3 - Prob. 20PPS Ch. 5.3 - Prob. 21PPS Ch. 5.3 - Prob. 22PPS Ch. 5.3 - Prob. 23PPS Ch. 5.3 - Prob. 24PPS Ch. 5.3 - Prob. 25PPS Ch. 5.3 - Prob. 26PPS Ch. 5.3 - Prob. 27PPS Ch. 5.3 - Prob. 28PPS Ch. 5.3 - Prob. 29PPS Ch. 5.3 - Prob. 30PPS Ch. 5.3 - Prob. 31PPS Ch. 5.3 - Prob. 32PPS Ch. 5.3 - Prob. 33PPS Ch. 5.3 - Prob. 34PPS Ch. 5.3 - Prob. 35PPS Ch. 5.3 - Prob. 36PPS Ch. 5.3 - Prob. 37PPS Ch. 5.3 - Prob. 38PPS Ch. 5.3 - Prob. 39PPS Ch. 5.3 - Prob. 40PPS Ch. 5.3 - Prob. 41PPS Ch. 5.3 - Prob. 42PPS Ch. 5.3 - Prob. 43PPS Ch. 5.3 - Prob. 44PPS Ch. 5.3 - Prob. 45PPS Ch. 5.3 - Prob. 46PPS Ch. 5.3 - Prob. 47PPS Ch. 5.3 - Prob. 48PPS Ch. 5.3 - Prob. 49PPS Ch. 5.3 - Prob. 50PPS Ch. 5.3 - Prob. 51PPS Ch. 5.3 - Prob. 52PPS Ch. 5.3 - Prob. 53PPS Ch. 5.3 - Prob. 54PPS Ch. 5.3 - Prob. 55HP Ch. 5.3 - Prob. 56HP Ch. 5.3 - Prob. 57HP Ch. 5.3 - Prob. 58HP Ch. 5.3 - Prob. 59HP Ch. 5.3 - Prob. 60PFA Ch. 5.3 - Prob. 61PFA Ch. 5.3 - Prob. 62PFA Ch. 5.3 - Prob. 63PFA Ch. 5.3 - Prob. 64PFA Ch. 5.3 - Prob. 65PFA Ch. 5.4 - Prob. 1AGP Ch. 5.4 - Prob. 1BGP Ch. 5.4 - Prob. 2GP Ch. 5.4 - Prob. 3AGP Ch. 5.4 - Prob. 3BGP Ch. 5.4 - Prob. 1CYU Ch. 5.4 - Prob. 2CYU Ch. 5.4 - Prob. 3CYU Ch. 5.4 - Prob. 4CYU Ch. 5.4 - Prob. 5CYU Ch. 5.4 - Prob. 6PPS Ch. 5.4 - Prob. 7PPS Ch. 5.4 - Prob. 8PPS Ch. 5.4 - Prob. 9PPS Ch. 5.4 - Prob. 10PPS Ch. 5.4 - Prob. 11PPS Ch. 5.4 - Prob. 12PPS Ch. 5.4 - Prob. 13PPS Ch. 5.4 - Prob. 14PPS Ch. 5.4 - Prob. 15PPS Ch. 5.4 - Prob. 16PPS Ch. 5.4 - Prob. 17PPS Ch. 5.4 - Prob. 18PPS Ch. 5.4 - Prob. 19PPS Ch. 5.4 - Prob. 20PPS Ch. 5.4 - Prob. 21PPS Ch. 5.4 - Prob. 22PPS Ch. 5.4 - Prob. 23PPS Ch. 5.4 - Prob. 24PPS Ch. 5.4 - Prob. 25PPS Ch. 5.4 - Prob. 26PPS Ch. 5.4 - Prob. 27PPS Ch. 5.4 - Prob. 28PPS Ch. 5.4 - Prob. 29PPS Ch. 5.4 - Prob. 30PPS Ch. 5.4 - Prob. 31PPS Ch. 5.4 - Prob. 32PPS Ch. 5.4 - Prob. 33PPS Ch. 5.4 - Prob. 34PPS Ch. 5.4 - Prob. 35PPS Ch. 5.4 - Prob. 36PPS Ch. 5.4 - Prob. 37PPS Ch. 5.4 - Prob. 38PPS Ch. 5.4 - Prob. 39HP Ch. 5.4 - Prob. 40HP Ch. 5.4 - Prob. 41HP Ch. 5.4 - Prob. 42HP Ch. 5.4 - Prob. 43HP Ch. 5.4 - Prob. 44PFA Ch. 5.4 - Prob. 45PFA Ch. 5.4 - Prob. 46PFA Ch. 5.4 - Prob. 47PFA Ch. 5.4 - Prob. 48PFA Ch. 5.4 - Prob. 49PFA Ch. 5.4 - Prob. 50PFA Ch. 5.5 - Prob. 1AGP Ch. 5.5 - Prob. 1BGP Ch. 5.5 - Prob. 2GP Ch. 5.5 - Prob. 3AGP Ch. 5.5 - Prob. 3BGP Ch. 5.5 - Prob. 1CYU Ch. 5.5 - Prob. 2CYU Ch. 5.5 - Prob. 3CYU Ch. 5.5 - Prob. 4CYU Ch. 5.5 - Prob. 5CYU Ch. 5.5 - Prob. 6CYU Ch. 5.5 - Prob. 7CYU Ch. 5.5 - Prob. 8PPS Ch. 5.5 - Prob. 9PPS Ch. 5.5 - Prob. 10PPS Ch. 5.5 - Prob. 11PPS Ch. 5.5 - Prob. 12PPS Ch. 5.5 - Prob. 13PPS Ch. 5.5 - Prob. 14PPS Ch. 5.5 - Prob. 15PPS Ch. 5.5 - Prob. 16PPS Ch. 5.5 - Prob. 17PPS Ch. 5.5 - Prob. 18PPS Ch. 5.5 - Prob. 19PPS Ch. 5.5 - Prob. 20PPS Ch. 5.5 - Prob. 21PPS Ch. 5.5 - Prob. 22PPS Ch. 5.5 - Prob. 23PPS Ch. 5.5 - Prob. 24PPS Ch. 5.5 - Prob. 25PPS Ch. 5.5 - Prob. 26PPS Ch. 5.5 - Prob. 27PPS Ch. 5.5 - Prob. 28PPS Ch. 5.5 - Prob. 29PPS Ch. 5.5 - Prob. 30PPS Ch. 5.5 - Prob. 31PPS Ch. 5.5 - Prob. 32PPS Ch. 5.5 - Prob. 33PPS Ch. 5.5 - Prob. 34PPS Ch. 5.5 - Prob. 35PPS Ch. 5.5 - Prob. 36PPS Ch. 5.5 - Prob. 37PPS Ch. 5.5 - Prob. 38PPS Ch. 5.5 - Prob. 39PPS Ch. 5.5 - Prob. 40PPS Ch. 5.5 - Prob. 41PPS Ch. 5.5 - Prob. 42PPS Ch. 5.5 - Prob. 43HP Ch. 5.5 - Prob. 44HP Ch. 5.5 - Prob. 45HP Ch. 5.5 - Prob. 46HP Ch. 5.5 - Prob. 47HP Ch. 5.5 - Prob. 48PFA Ch. 5.5 - Prob. 49PFA Ch. 5.5 - Prob. 50PFA Ch. 5.5 - Prob. 51PFA Ch. 5.5 - Prob. 52PFA Ch. 5.5 - Prob. 53PFA Ch. 5.5 - Prob. 54PFA Ch. 5.5 - Prob. 55PFA Ch. 5.6 - Prob. 1AGP Ch. 5.6 - Prob. 1BGP Ch. 5.6 - Prob. 2AGP Ch. 5.6 - Prob. 2BGP Ch. 5.6 - Prob. 3GP Ch. 5.6 - Prob. 4GP Ch. 5.6 - Prob. 1CYU Ch. 5.6 - Prob. 2CYU Ch. 5.6 - Prob. 3CYU Ch. 5.6 - Prob. 4CYU Ch. 5.6 - Prob. 5CYU Ch. 5.6 - Prob. 6CYU Ch. 5.6 - Prob. 7CYU Ch. 5.6 - Prob. 8CYU Ch. 5.6 - Prob. 9CYU Ch. 5.6 - Prob. 10PPS Ch. 5.6 - Prob. 11PPS Ch. 5.6 - Prob. 12PPS Ch. 5.6 - Prob. 13PPS Ch. 5.6 - Prob. 14PPS Ch. 5.6 - Prob. 15PPS Ch. 5.6 - Prob. 16PPS Ch. 5.6 - Prob. 17PPS Ch. 5.6 - Prob. 18PPS Ch. 5.6 - Prob. 19PPS Ch. 5.6 - Prob. 20PPS Ch. 5.6 - Prob. 21PPS Ch. 5.6 - Prob. 22PPS Ch. 5.6 - Prob. 23PPS Ch. 5.6 - Prob. 24PPS Ch. 5.6 - Prob. 25PPS Ch. 5.6 - Prob. 26PPS Ch. 5.6 - Prob. 27PPS Ch. 5.6 - Prob. 28PPS Ch. 5.6 - Prob. 29PPS Ch. 5.6 - Prob. 30PPS Ch. 5.6 - Prob. 31PPS Ch. 5.6 - Prob. 32PPS Ch. 5.6 - Prob. 33PPS Ch. 5.6 - Prob. 34PPS Ch. 5.6 - Prob. 35PPS Ch. 5.6 - Prob. 36PPS Ch. 5.6 - Prob. 37PPS Ch. 5.6 - Prob. 38HP Ch. 5.6 - Prob. 39HP Ch. 5.6 - Prob. 40HP Ch. 5.6 - Prob. 41HP Ch. 5.6 - Prob. 42PFA Ch. 5.6 - Prob. 43PFA Ch. 5.6 - Prob. 44PFA Ch. 5.6 - Prob. 45PFA Ch. 5.6 - Prob. 46PFA Ch. 5.6 - Prob. 47PFA Ch. 5 - Prob. 1MCQ Ch. 5 - Prob. 2MCQ Ch. 5 - Prob. 3MCQ Ch. 5 - Prob. 4MCQ Ch. 5 - Prob. 5MCQ Ch. 5 - Prob. 6MCQ Ch. 5 - Prob. 7MCQ Ch. 5 - Prob. 8MCQ Ch. 5 - Prob. 9MCQ Ch. 5 - Prob. 10MCQ Ch. 5 - Prob. 11MCQ Ch. 5 - Prob. 12MCQ Ch. 5 - Prob. 13MCQ Ch. 5 - Prob. 14MCQ Ch. 5 - Prob. 15MCQ Ch. 5 - Prob. 16MCQ Ch. 5 - Prob. 17MCQ Ch. 5 - Prob. 18MCQ Ch. 5 - Prob. 19MCQ Ch. 5 - Prob. 20MCQ Ch. 5 - Prob. 21MCQ Ch. 5 - Prob. 22MCQ Ch. 5 - Prob. 23MCQ Ch. 5 - Prob. 24MCQ Ch. 5 - Prob. 25MCQ Ch. 5 - Prob. 26MCQ Ch. 5 - Prob. 27MCQ Ch. 5 - Prob. 1SGR Ch. 5 - Prob. 2SGR Ch. 5 - Prob. 3SGR Ch. 5 - Prob. 4SGR Ch. 5 - Prob. 5SGR Ch. 5 - Prob. 6SGR Ch. 5 - Prob. 7SGR Ch. 5 - Prob. 8SGR Ch. 5 - Prob. 9SGR Ch. 5 - Prob. 10SGR Ch. 5 - Prob. 11SGR Ch. 5 - Prob. 12SGR Ch. 5 - Prob. 13SGR Ch. 5 - Prob. 14SGR Ch. 5 - Prob. 15SGR Ch. 5 - Prob. 16SGR Ch. 5 - Prob. 17SGR Ch. 5 - Prob. 18SGR Ch. 5 - Prob. 19SGR Ch. 5 - Prob. 20SGR Ch. 5 - Prob. 21SGR Ch. 5 - Prob. 22SGR Ch. 5 - Prob. 23SGR Ch. 5 - Prob. 24SGR Ch. 5 - Prob. 25SGR Ch. 5 - Prob. 26SGR Ch. 5 - Prob. 27SGR Ch. 5 - Prob. 28SGR Ch. 5 - Prob. 29SGR Ch. 5 - Prob. 30SGR Ch. 5 - Prob. 31SGR Ch. 5 - Prob. 32SGR Ch. 5 - Prob. 33SGR Ch. 5 - Prob. 34SGR Ch. 5 - Prob. 35SGR Ch. 5 - Prob. 36SGR Ch. 5 - Prob. 37SGR Ch. 5 - Prob. 38SGR Ch. 5 - Prob. 39SGR Ch. 5 - Prob. 40SGR Ch. 5 - Prob. 41SGR Ch. 5 - Prob. 42SGR Ch. 5 - Prob. 43SGR Ch. 5 - Prob. 44SGR Ch. 5 - Prob. 45SGR Ch. 5 - Prob. 46SGR Ch. 5 - Prob. 47SGR Ch. 5 - Prob. 48SGR Ch. 5 - Prob. 49SGR Ch. 5 - Prob. 50SGR Ch. 5 - Prob. 51SGR Ch. 5 - Prob. 52SGR Ch. 5 - Prob. 1PT Ch. 5 - Prob. 2PT Ch. 5 - Prob. 3PT Ch. 5 - Prob. 4PT Ch. 5 - Prob. 5PT Ch. 5 - Prob. 6PT Ch. 5 - Prob. 7PT Ch. 5 - Prob. 8PT Ch. 5 - Prob. 9PT Ch. 5 - Prob. 10PT Ch. 5 - Prob. 11PT Ch. 5 - Prob. 12PT Ch. 5 - Prob. 13PT Ch. 5 - Prob. 14PT Ch. 5 - Prob. 15PT Ch. 5 - Prob. 16PT Ch. 5 - Prob. 17PT Ch. 5 - Prob. 18PT Ch. 5 - Prob. 19PT Ch. 5 - Prob. 20PT Ch. 5 - Prob. 21PT Ch. 5 - Prob. 22PT Ch. 5 - Prob. 23PT Ch. 5 - Prob. 24PT Ch. 5 - Prob. 25PT Ch. 5 - Prob. 26PT Ch. 5 - Prob. 1PFA Ch. 5 - Prob. 2PFA Ch. 5 - Prob. 3PFA Ch. 5 - Prob. 4PFA Ch. 5 - Prob. 5PFA Ch. 5 - Prob. 6PFA Ch. 5 - Prob. 7PFA Ch. 5 - Prob. 8PFA Ch. 5 - Prob. 9PFA Ch. 5 - Prob. 10PFA Ch. 5 - Prob. 11PFA Ch. 5 - Prob. 12PFA

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