Graph the system of inequalities. x+y≤5 x-y≤5 E Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph 10 B -6 10 सू 8 Ay 6- 2 --2- -8 10 Q
Graph the system of inequalities. x+y≤5 x-y≤5 E Use the graphing tool on the right to graph the system of inequalities. Click to enlarge graph 10 B -6 10 सू 8 Ay 6- 2 --2- -8 10 Q
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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Transcribed Image Text:### Graphing Systems of Inequalities
**Objective:** Graph the system of inequalities given below.
**Inequalities:**
1. \( x + y \leq 5 \)
2. \( x - y \leq 5 \)
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**Instructions:**
- Use the graphing tool on the right to visualize the system of inequalities.
- Click on the button labeled "Click to enlarge graph" to view and interact with the graph in detail.
**Graph Description:**
The graph provided is a coordinate plane with horizontal and vertical axes ranging from -10 to 10. The grid is marked with increments of 1. Points can be plotted using these axes to represent the solutions to the system of inequalities.
This exercise involves plotting both lines:
- For \( x + y = 5 \), rearrange to get the y-intercept and plot points to form the boundary line.
- For \( x - y = 5 \), rearrange and plot points to form the second boundary line.
The solution set is the area where the shaded regions of both inequalities overlap.
Expert Solution
Step 1
To graph the system of inequality
1. Graph each inequality on the same graph paper.
2. Now, the overlap region will be the common region of the system of inequalities which is the required region.
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