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

To solve the inequality: 8 ( a − 2 ) ≤ 10 ( a + 2 )

To solve the inequality: 8 ( a − 2 ) ≤ 10 ( a + 2 )

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 5.3, Problem 38PPS

To determine

To solve the inequality:

8(a−2)≤10(a+2)

Expert Solution & Answer

Answer to Problem 38PPS

[−18,∞)

Explanation of Solution

Given:

8(a−2)≤10(a+2)

Concept Used:

To graph the endpoint with strict inequality < or>, use the open parenthesis or a hollow circle at that endpoint.
To graph the endpoint with inequality symbol ≤ or≥, use the bracket or a solid circle at that endpoint.
Properties of inequality:

b≤c⇒b±a≤c±a
b≤c⇒ab≤ac, if a>0
b≤c⇒ab≥ac, if a<0

Calculation:

In order to solve the inequality

8(a−2)≤10(a+2)

First, simplify it’s both sides, as

8(a−2)≤10(a+2)⇒8a−16≤10a+20

Now, subtract 8a from both sides of the inequality, as

8a−16≤10a+20⇒8a−16−8a≤10a+20−8a⇒0−16≤2a+20⇒−16−20≤2a+20−20 (subtract 20 from both sides)⇒−36≤2a⇒−362≤2a2 (divide bothsides by 2 )⇒−18≤a

Thus, the above inequality is true for every value of a greater than and equals to −18 , this can be represented in interval form, as

[−18,∞)

Chapter 5.3, Problem 37PPS

Chapter 5.3, Problem 39PPS

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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