6.5 - linear inequalities.notebook - copley-fairlawn city schools...6.5 linear inequalities.notebook...
TRANSCRIPT
![Page 1: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/1.jpg)
6.5 Linear Inequalities.notebook
1
February 11, 2016
6.5: Linear Inequalities Date: 2/11
A linear inequality can be formed by replacing the equal sign in a linear equation with an inequality symbol. A solution of a linear inequality in two variables is an ordered pair that makes the inequality true. There are many solutions to linear inequalities, not just one.
Ex 1). Is the ordered pair a solution of y < x + 2?
(a) (5, 2) (b) (4, 6)
Ex 2). Suppose an ordered pair is not a solution of y < x + 2. Must it be a solution of y > x + 2? Explain.
![Page 2: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/2.jpg)
6.5 Linear Inequalities.notebook
2
February 11, 2016
The graph of a linear inequality in two variables consists of all points that represent solutions. The graph is a region called a halfplane that is bounded by a line. All points on one side of the boundary line are solutions, while all points the other side are not solutions.
Graphing Steps:
1. Write the equation in slopeintercept form: ________________“Isolate y”
2. Graph the line:
a. Use a _________________ line for _______________
b. Use a _________________ line for _______________
3. _________ the coordinates of a point in one fo the halfplane
4. _________ the halfplane containing the point if it is a _________________ of the inequality. If it is not a solution, shade the ____________ halfplane.
![Page 3: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/3.jpg)
6.5 Linear Inequalities.notebook
3
February 11, 2016
Graph each of the following linear inequalities:
Ex 3). Ex 4).
![Page 4: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/4.jpg)
6.5 Linear Inequalities.notebook
4
February 11, 2016
Ex 5). Ex 6).
![Page 5: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/5.jpg)
6.5 Linear Inequalities.notebook
5
February 11, 2016
Ex 7). Ex 8).
![Page 6: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/6.jpg)
6.5 Linear Inequalities.notebook
6
February 11, 2016
Ex 9). Suppose you can spend no more than $20 for hot dogs and hamburgers for a picnic. Hot dogs cost $5 per package, and hamburgers cost $8 per package. What are three possible combinations of packages of hamburgers and hot dogs that you could buy?
x
y
![Page 7: 6.5 - Linear Inequalities.notebook - Copley-Fairlawn City Schools...6.5 Linear Inequalities.notebook 2 February 11, 2016 The graph of a linear inequality in two variables consists](https://reader036.vdocuments.site/reader036/viewer/2022071414/610d9318c847d547fc5f6d47/html5/thumbnails/7.jpg)
6.5 Linear Inequalities.notebook
7
February 11, 2016
Homework: pg. 397 #1 – 7, 8 – 30(e), 32 – 34
(graphs on graph paper)