Question 7 Graph: y ≥ -X -5 -4 -3 -2 -1 Clear All Draw: 1 5+ Submit Question + 3 2 1 1 -2 -3 -4 -5+ > 2 3 4 -LA Question Help: Video Message instructor
Question 7 Graph: y ≥ -X -5 -4 -3 -2 -1 Clear All Draw: 1 5+ Submit Question + 3 2 1 1 -2 -3 -4 -5+ > 2 3 4 -LA Question Help: Video Message instructor
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

Transcribed Image Text:### Question 7
**Graph: \( y \geq \frac{1}{4}x - 1 \)**
#### Description:
The graph displays a coordinate plane ranging from -5 to 5 on both the x-axis and y-axis. The grid is clearly marked with integers labeled at each axis tick.
#### Visual Elements:
- **Coordinate Plane**:
- The x-axis and y-axis intersect at the origin (0,0).
- The plane shows equal spacing with grid lines to aid in accurate graphing.
- **Equation**:
- The inequality \( y \geq \frac{1}{4}x - 1 \) represents a line with a slope of \(\frac{1}{4}\) and a y-intercept at -1.
- The graph of the inequality includes the region above and including the line.
- **Functional Tools Available**:
- **Clear All**: A button to reset your drawing on the graph.
- **Draw Options**:
- There are two icons allowing users to shade the area above or below the line according to the inequality.
- **Question Help**:
- **Video**: A link to a video for additional instructional support.
- **Message Instructor**: An option to contact the instructor for help.
- **Submit Question**: A button to submit your graph for evaluation.
Use these tools to accurately graph the inequality on the coordinate plane. Make sure to shade the correct region to represent \( y \geq \frac{1}{4}x - 1 \).
Expert Solution

Step 1
A linear inequality is an inequality which involves a linear function. Linear inequalities are the expressions where any two values are compared by the inequality symbols.
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