Elementary Algebra

Lynn Marecek, MaryAnne Anthony-Smith

$Math Studyset 91影视 Explanations$ Math

2nd Edition 路 1240 pages

ISBN: 9780998625713

Chapter 4: Q. 524 (page 558)

Graph the linear inequality $y 鈮� - \frac{1}{2} x + 4 .$

Short Answer

Expert verified

The graph of the linear inequality $y 鈮� - \frac{1}{2} x + 4$ is

Step by step solution

Step 1. Given Information

The given boundary line is $y 鈮� - \frac{1}{2} x + 4 .$

We have to graph the linear inequality.

Step 2. Graph the boundary line

First, we graph the boundary line. The inequality is $鈮�$ so we draw a solid line.

Step 3. Test the point

To test a point. We鈥檒l use $(0, 0)$ because it is easy to evaluate and it is not on the boundary line.

$y 鈮� - \frac{1}{2} x + 4 0 鈮� - \frac{1}{2} (0) + 4 0 鈮� 4$

The point $(0, 0)$ is a solution of $y 鈮� - \frac{1}{2} x + 4,$ so we shade in that side of the boundary line.

Step 4. Sketch the graph in the given linear inequality

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91影视

Graph the linear inequality $y 鈮� - \frac{1}{2} x + 4 .$

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the boundary line

Step 3. Test the point

Step 4. Sketch the graph in the given linear inequality

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91影视

Graph the linear inequalityy鈮�-12x+4.

Short Answer

Step by step solution

Step 1. Given Information

Step 2. Graph the boundary line

Step 3. Test the point

Step 4. Sketch the graph in the given linear inequality

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Theoretical and Mathematical Physics

Geometry

Applied Mathematics

Calculus

Logic and Functions

Probability and Statistics

Study anywhere. Anytime. Across all devices.

Graph the linear inequality $y 鈮� - \frac{1}{2} x + 4 .$