Graph the following inequality. 5x +2y > 10
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![**Graphing Inequality**
### Instructions
**Graph the following inequality:**
\[ 5x + 2y > 10 \]
#### Steps:
1. **Use the graphing tool to graph the inequality.**
2. **Click to enlarge the graph.**
#### Graphing Tool:
- Click on the graph, choose a tool in the palette, and follow the instructions to create your graph.
#### Interface:
- The graphing area contains a coordinate grid with x and y axes ranging from -10 to 10.
- The grid points are clearly marked with intervals of 2 units.
#### Buttons on the Interface:
- **Zoom In/Out**: Adjust the view of your graph.
- **Refresh**: Clear the graph to start anew.
- **Check Answer**: Submit your graph for verification.
### Guidance:
- Shade the appropriate region that represents the solution to the inequality \(5x + 2y > 10\).
- Use a dashed line to represent the inequality since it is a strict inequality ( > or < ).
### Example Graph Interpretation:
If the inequality \(5x + 2y = 10\) is graphed as a boundary line, the shaded area should be above this line.
#### Common Tools:
- **Line/Curve Tool**: Draw the boundary line.
- **Shading Tool**: Shade the region that satisfies the inequality.
For further understanding, refer to your textbooks or instructional videos on graphing linear inequalities.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6f3c0317-a018-4411-a1b9-6d16a487273e%2F9c8b8c8f-2e30-45d9-b688-53c0059bce10%2F9accjt_reoriented.jpeg&w=3840&q=75)
Transcribed Image Text:**Graphing Inequality**
### Instructions
**Graph the following inequality:**
\[ 5x + 2y > 10 \]
#### Steps:
1. **Use the graphing tool to graph the inequality.**
2. **Click to enlarge the graph.**
#### Graphing Tool:
- Click on the graph, choose a tool in the palette, and follow the instructions to create your graph.
#### Interface:
- The graphing area contains a coordinate grid with x and y axes ranging from -10 to 10.
- The grid points are clearly marked with intervals of 2 units.
#### Buttons on the Interface:
- **Zoom In/Out**: Adjust the view of your graph.
- **Refresh**: Clear the graph to start anew.
- **Check Answer**: Submit your graph for verification.
### Guidance:
- Shade the appropriate region that represents the solution to the inequality \(5x + 2y > 10\).
- Use a dashed line to represent the inequality since it is a strict inequality ( > or < ).
### Example Graph Interpretation:
If the inequality \(5x + 2y = 10\) is graphed as a boundary line, the shaded area should be above this line.
#### Common Tools:
- **Line/Curve Tool**: Draw the boundary line.
- **Shading Tool**: Shade the region that satisfies the inequality.
For further understanding, refer to your textbooks or instructional videos on graphing linear inequalities.
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