Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Question 25/26**
**NEXT** **BOOKMARK**
### Part A:
#### Graph the system of inequalities:
\[ -2x + 4y - 8 < 0 \]
\[ 6x + 8y + 8 \geq 0 \]
**Directions:**
1. Click on the "LINE" button.
2. Click on the location on the graph where you would like to graph your first point (A).
3. Click on the location on the graph where you would like to graph your second point (B).
4. A line will appear through points A and B.
5. Repeat these steps for the second inequality.
**To graph a dashed line**, follow the above steps, click the "DASHED" button, then click on your line.
**To shade**, follow the above steps, click the "AREA" button, then click on the section of the graph you would like to shade.
#### Diagram Explanation:
The image contains a graph with a coordinate plane that ranges from x = -10 to x = 10 and y = -10 to y = 10, with grid lines present to assist in accurately plotting points.
There are three buttons depicted below the graph for different graphing functions:
- **LINE**: This button is used to draw straight lines.
- **DASHED**: This button is used to create dashed lines, typically used for inequalities that are strictly less than or greater than.
- **AREA**: This button is used to shade areas of the graph, useful for indicating the solution sets of inequalities.
By following the directions provided, students can graph the system of inequalities step-by-step, ultimately displaying the solution region on the graph.
**Note:**
Ensure that when graphing the inequalities:
- Use a **solid line** for the inequality \(6x + 8y + 8 \geq 0\).
- Use a **dashed line** for the inequality \(- 2x + 4y - 8 < 0\).
- Shade the appropriate regions to represent the solutions of the inequalities accurately.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe0f37d6-39ab-4894-bfb0-f755c5eb1ff1%2F5625d144-2269-48e1-84c8-0178756c90ba%2F7q4wxvc_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 25/26**
**NEXT** **BOOKMARK**
### Part A:
#### Graph the system of inequalities:
\[ -2x + 4y - 8 < 0 \]
\[ 6x + 8y + 8 \geq 0 \]
**Directions:**
1. Click on the "LINE" button.
2. Click on the location on the graph where you would like to graph your first point (A).
3. Click on the location on the graph where you would like to graph your second point (B).
4. A line will appear through points A and B.
5. Repeat these steps for the second inequality.
**To graph a dashed line**, follow the above steps, click the "DASHED" button, then click on your line.
**To shade**, follow the above steps, click the "AREA" button, then click on the section of the graph you would like to shade.
#### Diagram Explanation:
The image contains a graph with a coordinate plane that ranges from x = -10 to x = 10 and y = -10 to y = 10, with grid lines present to assist in accurately plotting points.
There are three buttons depicted below the graph for different graphing functions:
- **LINE**: This button is used to draw straight lines.
- **DASHED**: This button is used to create dashed lines, typically used for inequalities that are strictly less than or greater than.
- **AREA**: This button is used to shade areas of the graph, useful for indicating the solution sets of inequalities.
By following the directions provided, students can graph the system of inequalities step-by-step, ultimately displaying the solution region on the graph.
**Note:**
Ensure that when graphing the inequalities:
- Use a **solid line** for the inequality \(6x + 8y + 8 \geq 0\).
- Use a **dashed line** for the inequality \(- 2x + 4y - 8 < 0\).
- Shade the appropriate regions to represent the solutions of the inequalities accurately.
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