Prealgebra & Introductory Algebra (4th Edition)
Prealgebra & Introductory Algebra (4th Edition)
4th Edition
ISBN: 9780321955791
Author: Elayn Martin-Gay
Publisher: PEARSON
Question
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Chapter D, Problem 1E
To determine

To graph:

The solutions for the provided system of linear inequalities.

Expert Solution & Answer
Check Mark

Answer to Problem 1E

Solution:

The solutions of the system is the region contained in the graphs of both inequalities.

Prealgebra & Introductory Algebra (4th Edition), Chapter D, Problem 1E , additional homework tip  1

Explanation of Solution

Given:

The provided system of linear inequalities is {yx+1y3x

Procedure:

Graphing the solutions of a system of linear inequalities:

Step 1: Graph each inequality in the system on the same set of axes.

Step 2: The solutions of the system are the points common to the graphs of all the inequalities in the system.

Calculation:

Consider the inequalities yx+1, y3x

Graph both the inequalities on the same set of axes.

Since both the inequality symbols are , the boundary lines are also included in the solution.

The solutions of the system are the regions shown by the darkest shading in the graph below.

Graph:

Prealgebra & Introductory Algebra (4th Edition), Chapter D, Problem 1E , additional homework tip  2

Therefore, the solutions of the system is the region contained in the graphs of both inequalities.

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