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High School Math Algebra Algebra 2

The solution of inequalities using graph.

The solution of inequalities using graph.

Algebra 2

1st Edition

ISBN: 9780078884825

Author: McGraw-Hill/Glencoe

Publisher: Glencoe/McGraw-Hill School Pub Co

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Concept explainers

‘Matrices’ is the plural form of the word matrix, and it is basically a spreadsheet in the form of a box. In mathematics, various functions can be carried out with matrices. Generally, a matrix comes in the shape of a square or rectangle. The elements ar…

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Question

Chapter 4.2, Problem 53STP

To determine

To find: The solution of inequalities using graph.

Expert Solution & Answer

Answer to Problem 53STP

The solution of inequalities using graph is shown in the figure.

Explanation of Solution

Given,

The given expression is,

4x+2y>84y−3x≤12

Calculation:

Using the given equation, the graph is plotted as,

Algebra 2, Chapter 4.2, Problem 53STP

Thus, the shaded portion is the required solution of inequalities.

Chapter 4.2, Problem 52STP

Chapter 4.2, Problem 54STP

Chapter 4 Solutions

Algebra 2

Ch. 4.1 - Prob. 1ACYP Ch. 4.1 - Prob. 1BCYP Ch. 4.1 - Prob. 2CYP Ch. 4.1 - Prob. 3CYP Ch. 4.1 - Prob. 1CYU Ch. 4.1 - Prob. 2CYU Ch. 4.1 - Prob. 3CYU Ch. 4.1 - Prob. 4CYU Ch. 4.1 - Prob. 5CYU Ch. 4.1 - Prob. 6CYU

Ch. 4.1 - Prob. 7CYU Ch. 4.1 - Prob. 8CYU Ch. 4.1 - Prob. 9PPS Ch. 4.1 - Prob. 10PPS Ch. 4.1 - Prob. 11PPS Ch. 4.1 - Prob. 12PPS Ch. 4.1 - Prob. 13PPS Ch. 4.1 - Prob. 14PPS Ch. 4.1 - Prob. 15PPS Ch. 4.1 - Prob. 16PPS Ch. 4.1 - Prob. 17PPS Ch. 4.1 - Prob. 18PPS Ch. 4.1 - Prob. 19PPS Ch. 4.1 - Prob. 20PPS Ch. 4.1 - Prob. 21PPS Ch. 4.1 - Prob. 22PPS Ch. 4.1 - Prob. 23PPS Ch. 4.1 - Prob. 24PPS Ch. 4.1 - Prob. 25PPS Ch. 4.1 - Prob. 26PPS Ch. 4.1 - Prob. 27PPS Ch. 4.1 - Prob. 28PPS Ch. 4.1 - Prob. 29PPS Ch. 4.1 - Prob. 30PPS Ch. 4.1 - Prob. 31PPS Ch. 4.1 - Prob. 32PPS Ch. 4.1 - Prob. 33PPS Ch. 4.1 - Prob. 34PPS Ch. 4.1 - Prob. 35HP Ch. 4.1 - Prob. 36HP Ch. 4.1 - Prob. 37HP Ch. 4.1 - Prob. 38HP Ch. 4.1 - Prob. 39HP Ch. 4.1 - Prob. 40HP Ch. 4.1 - Prob. 41HP Ch. 4.1 - Prob. 42HP Ch. 4.1 - Prob. 43HP Ch. 4.1 - Prob. 44HP Ch. 4.1 - Prob. 45STP Ch. 4.1 - Prob. 46STP Ch. 4.1 - Prob. 47STP Ch. 4.1 - Prob. 48STP Ch. 4.1 - Prob. 49STP Ch. 4.1 - Prob. 50STP Ch. 4.1 - Prob. 51STP Ch. 4.1 - Prob. 52STP Ch. 4.1 - Prob. 53S Ch. 4.1 - Prob. 54S Ch. 4.1 - Prob. 55S Ch. 4.1 - Prob. 1E Ch. 4.1 - Prob. 2E Ch. 4.1 - Prob. 3E Ch. 4.2 - Prob. 1ACYP Ch. 4.2 - Prob. 1BCYP Ch. 4.2 - Prob. 2CYP Ch. 4.2 - Prob. 3CYP Ch. 4.2 - Prob. 4CYP Ch. 4.2 - Prob. 1CYU Ch. 4.2 - Prob. 2CYU Ch. 4.2 - Prob. 3CYU Ch. 4.2 - Prob. 4CYU Ch. 4.2 - Prob. 5CYU Ch. 4.2 - Prob. 6CYU Ch. 4.2 - Prob. 7CYU Ch. 4.2 - Prob. 8CYU Ch. 4.2 - Prob. 9CYU Ch. 4.2 - Prob. 10CYU Ch. 4.2 - Prob. 11CYU Ch. 4.2 - Prob. 12PPS Ch. 4.2 - Prob. 13PPS Ch. 4.2 - Prob. 14PPS Ch. 4.2 - Prob. 15PPS Ch. 4.2 - Prob. 16PPS Ch. 4.2 - Prob. 17PPS Ch. 4.2 - Prob. 18PPS Ch. 4.2 - Prob. 19PPS Ch. 4.2 - Prob. 20PPS Ch. 4.2 - Prob. 21PPS Ch. 4.2 - Prob. 22PPS Ch. 4.2 - Prob. 23PPS Ch. 4.2 - Prob. 24PPS Ch. 4.2 - Prob. 25PPS Ch. 4.2 - Prob. 26PPS Ch. 4.2 - Prob. 27PPS Ch. 4.2 - Prob. 28PPS Ch. 4.2 - Prob. 29PPS Ch. 4.2 - Prob. 30PPS Ch. 4.2 - Prob. 31PPS Ch. 4.2 - Prob. 32PPS Ch. 4.2 - Prob. 33PPS Ch. 4.2 - Prob. 34PPS Ch. 4.2 - Prob. 35HP Ch. 4.2 - Prob. 36HP Ch. 4.2 - Prob. 37HP Ch. 4.2 - Prob. 38HP Ch. 4.2 - Prob. 39HP Ch. 4.2 - Prob. 40HP Ch. 4.2 - Prob. 41HP Ch. 4.2 - Prob. 42HP Ch. 4.2 - Prob. 43HP Ch. 4.2 - Prob. 44HP Ch. 4.2 - Prob. 45STP Ch. 4.2 - Prob. 46STP Ch. 4.2 - Prob. 47STP Ch. 4.2 - Prob. 48STP Ch. 4.2 - Prob. 49STP Ch. 4.2 - Prob. 50STP Ch. 4.2 - Prob. 51STP Ch. 4.2 - Prob. 52STP Ch. 4.2 - Prob. 53STP Ch. 4.2 - Prob. 54STP Ch. 4.2 - Prob. 55STP Ch. 4.2 - Prob. 56S Ch. 4.2 - Prob. 57S Ch. 4.2 - Prob. 58S Ch. 4.3 - Prob. 1ACYP Ch. 4.3 - Prob. 1BCYP Ch. 4.3 - Prob. 2CYP Ch. 4.3 - Prob. 3CYP Ch. 4.3 - Prob. 4CYP Ch. 4.3 - Prob. 5CYP Ch. 4.3 - Prob. 1CYU Ch. 4.3 - Prob. 2CYU Ch. 4.3 - Prob. 3CYU Ch. 4.3 - Prob. 4CYU Ch. 4.3 - Prob. 5CYU Ch. 4.3 - Prob. 6CYU Ch. 4.3 - Prob. 7CYU Ch. 4.3 - Prob. 8CYU Ch. 4.3 - Prob. 9CYU Ch. 4.3 - Prob. 10CYU Ch. 4.3 - Prob. 11CYU Ch. 4.3 - Prob. 12CYU Ch. 4.3 - Prob. 13CYU Ch. 4.3 - Prob. 14CYU Ch. 4.3 - Prob. 15PPS Ch. 4.3 - Prob. 16PPS Ch. 4.3 - Prob. 17PPS Ch. 4.3 - Prob. 18PPS Ch. 4.3 - Prob. 19PPS Ch. 4.3 - Prob. 20PPS Ch. 4.3 - Prob. 21PPS Ch. 4.3 - Prob. 22PPS Ch. 4.3 - Prob. 23PPS Ch. 4.3 - Prob. 24PPS Ch. 4.3 - Prob. 25PPS Ch. 4.3 - Prob. 26PPS Ch. 4.3 - Prob. 27PPS Ch. 4.3 - Prob. 28PPS Ch. 4.3 - Prob. 29PPS Ch. 4.3 - Prob. 30PPS Ch. 4.3 - Prob. 31PPS Ch. 4.3 - Prob. 32PPS Ch. 4.3 - Prob. 33PPS Ch. 4.3 - Prob. 34PPS Ch. 4.3 - Prob. 35PPS Ch. 4.3 - Prob. 36PPS Ch. 4.3 - Prob. 37PPS Ch. 4.3 - Prob. 38PPS Ch. 4.3 - Prob. 39PPS Ch. 4.3 - Prob. 40PPS Ch. 4.3 - Prob. 41PPS Ch. 4.3 - Prob. 42PPS Ch. 4.3 - Prob. 43PPS Ch. 4.3 - Prob. 44PPS Ch. 4.3 - Prob. 45PPS Ch. 4.3 - Prob. 46HP Ch. 4.3 - Prob. 47HP Ch. 4.3 - Prob. 48HP Ch. 4.3 - Prob. 49HP Ch. 4.3 - Prob. 50HP Ch. 4.3 - Prob. 51HP Ch. 4.3 - Prob. 52HP Ch. 4.3 - Prob. 53HP Ch. 4.3 - Prob. 54HP Ch. 4.3 - Prob. 55STP Ch. 4.3 - Prob. 56STP Ch. 4.3 - Prob. 57STP Ch. 4.3 - Prob. 58STP Ch. 4.3 - Prob. 59STP Ch. 4.3 - Prob. 60STP Ch. 4.3 - Prob. 61STP Ch. 4.3 - Prob. 62STP Ch. 4.3 - Prob. 63S Ch. 4.3 - Prob. 64S Ch. 4.3 - Prob. 65S Ch. 4.4 - Prob. 1CYP Ch. 4.4 - Prob. 2CYP Ch. 4.4 - Prob. 3CYP Ch. 4.4 - Prob. 4CYP Ch. 4.4 - Prob. 5CYP Ch. 4.4 - Prob. 1CYU Ch. 4.4 - Prob. 2CYU Ch. 4.4 - Prob. 3CYU Ch. 4.4 - Prob. 4CYU Ch. 4.4 - Prob. 5CYU Ch. 4.4 - Prob. 6CYU Ch. 4.4 - Prob. 7CYU Ch. 4.4 - Prob. 8CYU Ch. 4.4 - Prob. 9CYU Ch. 4.4 - Prob. 10PPS Ch. 4.4 - Prob. 11PPS Ch. 4.4 - Prob. 12PPS Ch. 4.4 - Prob. 13PPS Ch. 4.4 - Prob. 14PPS Ch. 4.4 - Prob. 15PPS Ch. 4.4 - Prob. 16PPS Ch. 4.4 - Prob. 17PPS Ch. 4.4 - Prob. 18PPS Ch. 4.4 - Prob. 19PPS Ch. 4.4 - Prob. 20PPS Ch. 4.4 - Prob. 21PPS Ch. 4.4 - Prob. 22PPS Ch. 4.4 - Prob. 23PPS Ch. 4.4 - Prob. 24PPS Ch. 4.4 - Prob. 25PPS Ch. 4.4 - Prob. 26PPS Ch. 4.4 - Prob. 27PPS Ch. 4.4 - Prob. 28PPS Ch. 4.4 - Prob. 29PPS Ch. 4.4 - Prob. 30PPS Ch. 4.4 - Prob. 31PPS Ch. 4.4 - Prob. 32PPS Ch. 4.4 - Prob. 33PPS Ch. 4.4 - Prob. 34PPS Ch. 4.4 - Prob. 35PPS Ch. 4.4 - Prob. 36PPS Ch. 4.4 - Prob. 37PPS Ch. 4.4 - Prob. 38PPS Ch. 4.4 - Prob. 39PPS Ch. 4.4 - Prob. 40PPS Ch. 4.4 - Prob. 41PPS Ch. 4.4 - Prob. 42HP Ch. 4.4 - Prob. 43HP Ch. 4.4 - Prob. 44HP Ch. 4.4 - Prob. 45HP Ch. 4.4 - Prob. 46HP Ch. 4.4 - Prob. 47HP Ch. 4.4 - Prob. 48HP Ch. 4.4 - Prob. 49HP Ch. 4.4 - Prob. 50HP Ch. 4.4 - Prob. 51HP Ch. 4.4 - Prob. 52HP Ch. 4.4 - Prob. 53STP Ch. 4.4 - Prob. 54STP Ch. 4.4 - Prob. 55STP Ch. 4.4 - Prob. 56STP Ch. 4.4 - Prob. 57STP Ch. 4.4 - Prob. 58STP Ch. 4.4 - Prob. 59STP Ch. 4.4 - Prob. 60STP Ch. 4.4 - Prob. 61STP Ch. 4.4 - Prob. 62S Ch. 4.4 - Prob. 63S Ch. 4.4 - Prob. 64S Ch. 4.4 - Prob. 1E Ch. 4.4 - Prob. 2E Ch. 4.4 - Prob. 3E Ch. 4.4 - Prob. 4E Ch. 4.4 - Prob. 5E Ch. 4.4 - Prob. 6E Ch. 4.4 - Prob. 7E Ch. 4.4 - Prob. 8E Ch. 4.4 - Prob. 9E Ch. 4.4 - Prob. 10E Ch. 4.4 - Prob. 11E Ch. 4.4 - Prob. 12E Ch. 4.5 - Prob. 1ACYP Ch. 4.5 - Prob. 1BCYP Ch. 4.5 - Prob. 2ACYP Ch. 4.5 - Prob. 2BCYP Ch. 4.5 - Prob. 3CYP Ch. 4.5 - Prob. 4ACYP Ch. 4.5 - Prob. 4BCYP Ch. 4.5 - Prob. 5ACYP Ch. 4.5 - Prob. 5BCYP Ch. 4.5 - Prob. 1CYU Ch. 4.5 - Prob. 2CYU Ch. 4.5 - Prob. 3CYU Ch. 4.5 - Prob. 4CYU Ch. 4.5 - Prob. 5CYU Ch. 4.5 - Prob. 6CYU Ch. 4.5 - Prob. 7CYU Ch. 4.5 - Prob. 8CYU Ch. 4.5 - Prob. 9CYU Ch. 4.5 - Prob. 10CYU Ch. 4.5 - Prob. 11CYU Ch. 4.5 - Prob. 12CYU Ch. 4.5 - Prob. 13CYU Ch. 4.5 - Prob. 14CYU Ch. 4.5 - Prob. 15CYU Ch. 4.5 - Prob. 16CYU Ch. 4.5 - Prob. 17CYU Ch. 4.5 - Prob. 18CYU Ch. 4.5 - Prob. 19CYU Ch. 4.5 - Prob. 20CYU Ch. 4.5 - Prob. 21CYU Ch. 4.5 - Prob. 22CYU Ch. 4.5 - Prob. 23CYU Ch. 4.5 - Prob. 24CYU Ch. 4.5 - Prob. 25CYU Ch. 4.5 - Prob. 26PPS Ch. 4.5 - Prob. 27PPS Ch. 4.5 - Prob. 28PPS Ch. 4.5 - Prob. 29PPS Ch. 4.5 - Prob. 30PPS Ch. 4.5 - Prob. 31PPS Ch. 4.5 - Prob. 32PPS Ch. 4.5 - Prob. 33PPS Ch. 4.5 - Prob. 34PPS Ch. 4.5 - Prob. 35PPS Ch. 4.5 - Prob. 36PPS Ch. 4.5 - Prob. 37PPS Ch. 4.5 - Prob. 38PPS Ch. 4.5 - Prob. 39PPS Ch. 4.5 - Prob. 40PPS Ch. 4.5 - Prob. 41PPS Ch. 4.5 - Prob. 42PPS Ch. 4.5 - Prob. 43PPS Ch. 4.5 - Prob. 44PPS Ch. 4.5 - Prob. 45PPS Ch. 4.5 - Prob. 46PPS Ch. 4.5 - Prob. 47PPS Ch. 4.5 - Prob. 48PPS Ch. 4.5 - Prob. 49PPS Ch. 4.5 - Prob. 50PPS Ch. 4.5 - Prob. 51PPS Ch. 4.5 - Prob. 52PPS Ch. 4.5 - Prob. 53PPS Ch. 4.5 - Prob. 54PPS Ch. 4.5 - Prob. 55PPS Ch. 4.5 - Prob. 56HP Ch. 4.5 - Prob. 57HP Ch. 4.5 - Prob. 58HP Ch. 4.5 - Prob. 59HP Ch. 4.5 - Prob. 60HP Ch. 4.5 - Prob. 61HP Ch. 4.5 - Prob. 62HP Ch. 4.5 - Prob. 63HP Ch. 4.5 - Prob. 64HP Ch. 4.5 - Prob. 65HP Ch. 4.5 - Prob. 66STP Ch. 4.5 - Prob. 67STP Ch. 4.5 - Prob. 68STP Ch. 4.5 - Prob. 69STP Ch. 4.5 - Prob. 70STP Ch. 4.5 - Prob. 71STP Ch. 4.5 - Prob. 72STP Ch. 4.5 - Prob. 73STP Ch. 4.5 - Prob. 74S Ch. 4.5 - Prob. 75S Ch. 4.5 - Prob. 76S Ch. 4.6 - Prob. 1CYP Ch. 4.6 - Prob. 2ACYP Ch. 4.6 - Prob. 2BCYP Ch. 4.6 - Prob. 3CYP Ch. 4.6 - Prob. 1CYU Ch. 4.6 - Prob. 2CYU Ch. 4.6 - Prob. 3CYU Ch. 4.6 - Prob. 4CYU Ch. 4.6 - Prob. 5CYU Ch. 4.6 - Prob. 6CYU Ch. 4.6 - Prob. 7CYU Ch. 4.6 - Prob. 8CYU Ch. 4.6 - Prob. 9CYU Ch. 4.6 - Prob. 10CYU Ch. 4.6 - Prob. 11CYU Ch. 4.6 - Prob. 12CYU Ch. 4.6 - Prob. 13PPS Ch. 4.6 - Prob. 14PPS Ch. 4.6 - Prob. 15PPS Ch. 4.6 - Prob. 16PPS Ch. 4.6 - Prob. 17PPS Ch. 4.6 - Prob. 18PPS Ch. 4.6 - Prob. 19PPS Ch. 4.6 - Prob. 20PPS Ch. 4.6 - Prob. 21PPS Ch. 4.6 - Prob. 22PPS Ch. 4.6 - Prob. 23PPS Ch. 4.6 - Prob. 24PPS Ch. 4.6 - Prob. 25PPS Ch. 4.6 - Prob. 26PPS Ch. 4.6 - Prob. 27PPS Ch. 4.6 - Prob. 28PPS Ch. 4.6 - Prob. 29PPS Ch. 4.6 - Prob. 30PPS Ch. 4.6 - Prob. 31PPS Ch. 4.6 - Prob. 32PPS Ch. 4.6 - Prob. 33PPS Ch. 4.6 - Prob. 34PPS Ch. 4.6 - Prob. 35PPS Ch. 4.6 - Prob. 36PPS Ch. 4.6 - Prob. 37PPS Ch. 4.6 - Prob. 38HP Ch. 4.6 - Prob. 39HP Ch. 4.6 - Prob. 40HP Ch. 4.6 - Prob. 41HP Ch. 4.6 - Prob. 42HP Ch. 4.6 - Prob. 43HP Ch. 4.6 - Prob. 44HP Ch. 4.6 - Prob. 45HP Ch. 4.6 - Prob. 46HP Ch. 4.6 - Prob. 47STP Ch. 4.6 - Prob. 48STP Ch. 4.6 - Prob. 49STP Ch. 4.6 - Prob. 50STP Ch. 4.6 - Prob. 51STP Ch. 4.6 - Prob. 52S Ch. 4.6 - Prob. 53S Ch. 4.6 - Prob. 54S Ch. 4.6 - Prob. 1E Ch. 4.6 - Prob. 2E Ch. 4.6 - Prob. 3E Ch. 4.6 - Prob. 4E Ch. 4.6 - Prob. 5E Ch. 4.6 - Prob. 6E Ch. 4 - Prob. 1QC Ch. 4 - Prob. 2QC Ch. 4 - Prob. 3QC Ch. 4 - Prob. 4QC Ch. 4 - Prob. 5QC Ch. 4 - Prob. 6QC Ch. 4 - Prob. 7QC Ch. 4 - Prob. 8QC Ch. 4 - Prob. 9QC Ch. 4 - Prob. 10QC Ch. 4 - Prob. 11QC Ch. 4 - Prob. 12QC Ch. 4 - Prob. 13QC Ch. 4 - Prob. 14QC Ch. 4 - Prob. 15QC Ch. 4 - Prob. 16QC Ch. 4 - Prob. 1MCQ Ch. 4 - Prob. 2MCQ Ch. 4 - Prob. 3MCQ Ch. 4 - Prob. 4MCQ Ch. 4 - Prob. 5MCQ Ch. 4 - Prob. 6MCQ Ch. 4 - Prob. 7MCQ Ch. 4 - Prob. 8MCQ Ch. 4 - Prob. 9MCQ Ch. 4 - Prob. 10MCQ Ch. 4 - Prob. 11MCQ Ch. 4 - Prob. 12MCQ Ch. 4 - Prob. 13MCQ Ch. 4 - Prob. 14MCQ Ch. 4 - Prob. 15MCQ Ch. 4 - Prob. 16MCQ Ch. 4 - Prob. 17MCQ Ch. 4 - Prob. 18MCQ Ch. 4 - Prob. 19MCQ Ch. 4 - Prob. 1SGR Ch. 4 - Prob. 2SGR Ch. 4 - Prob. 3SGR Ch. 4 - Prob. 4SGR Ch. 4 - Prob. 5SGR Ch. 4 - Prob. 6SGR Ch. 4 - Prob. 7SGR Ch. 4 - Prob. 8SGR Ch. 4 - Prob. 9SGR Ch. 4 - Prob. 10SGR Ch. 4 - Prob. 11SGR Ch. 4 - Prob. 12SGR Ch. 4 - Prob. 13SGR Ch. 4 - Prob. 14SGR Ch. 4 - Prob. 15SGR Ch. 4 - Prob. 16SGR Ch. 4 - Prob. 17SGR Ch. 4 - Prob. 18SGR Ch. 4 - Prob. 19SGR Ch. 4 - Prob. 20SGR Ch. 4 - Prob. 21SGR Ch. 4 - Prob. 22SGR Ch. 4 - Prob. 23SGR Ch. 4 - Prob. 24SGR Ch. 4 - Prob. 25SGR Ch. 4 - Prob. 26SGR Ch. 4 - Prob. 27SGR Ch. 4 - Prob. 28SGR Ch. 4 - Prob. 29SGR Ch. 4 - Prob. 30SGR Ch. 4 - Prob. 31SGR Ch. 4 - Prob. 32SGR Ch. 4 - Prob. 33SGR Ch. 4 - Prob. 34SGR Ch. 4 - Prob. 1PT Ch. 4 - Prob. 2PT Ch. 4 - Prob. 3PT Ch. 4 - Prob. 4PT Ch. 4 - Prob. 5PT Ch. 4 - Prob. 6PT Ch. 4 - Prob. 7PT Ch. 4 - Prob. 8PT Ch. 4 - Prob. 9PT Ch. 4 - Prob. 10PT Ch. 4 - Prob. 11PT Ch. 4 - Prob. 12PT Ch. 4 - Prob. 13PT Ch. 4 - Prob. 14PT Ch. 4 - Prob. 15PT Ch. 4 - Prob. 16PT Ch. 4 - Prob. 17PT Ch. 4 - Prob. 18PT Ch. 4 - Prob. 19PT Ch. 4 - Prob. 20PT Ch. 4 - Prob. 21PT Ch. 4 - Prob. 1E Ch. 4 - Prob. 2E Ch. 4 - Prob. 3E Ch. 4 - Prob. 4E Ch. 4 - Prob. 5E Ch. 4 - Prob. 1STP Ch. 4 - Prob. 2STP Ch. 4 - Prob. 3STP Ch. 4 - Prob. 4STP Ch. 4 - Prob. 5STP Ch. 4 - Prob. 6STP Ch. 4 - Prob. 7STP Ch. 4 - Prob. 8STP Ch. 4 - Prob. 9STP Ch. 4 - Prob. 10STP Ch. 4 - Prob. 11STP Ch. 4 - Prob. 12STP Ch. 4 - Prob. 13STP Ch. 4 - Prob. 14STP

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