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tion: -15 +10 1-5 15 10 5 ↑ 5 10 -15 10 >X 15

tion: -15 +10 1-5 15 10 5 ↑ 5 10 -15 10 >X 15

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter6: Systems Of Linear Equations And Inequalities
Section6.1: Graphing Systems Of Equations
Problem 40PPS
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can anyone help create a equation for the graphed piece wise function?
### Graph Description **Title: Understanding Linear Inequalities** This graph represents various linear inequalities on a Cartesian plane. The graph is plotted with an x-axis and a y-axis, both ranging from -15 to 15. Here is a detailed description of each component of the graph: 1. **Axes and Labels:** - The horizontal axis (x-axis) is labeled from -15 to 15. - The vertical axis (y-axis) is labeled from -15 to 15. 2. **Lines and Inequalities:** - Two solid lines and one dashed line are visible on the graph. 3. **Lines and Details:** - The first line extends diagonally from the point (-15, -15) upwards through (0, 0) to (15, 15). This is a solid line, indicating that the points on this line are included in the solution set of the inequality it represents. - The second line extends diagonally from the point (-15, 15) downwards through (0, 0) to (15, -15). This line is also solid, indicating the inclusion of points on this line in the solution set. - The third line is a dashed line starting at the point (2, 1) and moving upwards. This indicates a different inequality where points on this line are not included in the solution set. 4. **Shaded Regions:** - Shading indicates the range of values that satisfy each inequality. The exact shading isn't clear from the black-and-white image but typically includes regions either above or below the lines. Understanding this graph involves interpreting the intersections, the nature of the lines (solid or dashed), and the shaded regions to solve linear inequalities and their combinations. --- The description above of the image ensures it is suitable for educational purposes, explaining the necessary details without requiring visual reference to the image itself.
Transcribed Image Text:### Graph Description **Title: Understanding Linear Inequalities** This graph represents various linear inequalities on a Cartesian plane. The graph is plotted with an x-axis and a y-axis, both ranging from -15 to 15. Here is a detailed description of each component of the graph: 1. **Axes and Labels:** - The horizontal axis (x-axis) is labeled from -15 to 15. - The vertical axis (y-axis) is labeled from -15 to 15. 2. **Lines and Inequalities:** - Two solid lines and one dashed line are visible on the graph. 3. **Lines and Details:** - The first line extends diagonally from the point (-15, -15) upwards through (0, 0) to (15, 15). This is a solid line, indicating that the points on this line are included in the solution set of the inequality it represents. - The second line extends diagonally from the point (-15, 15) downwards through (0, 0) to (15, -15). This line is also solid, indicating the inclusion of points on this line in the solution set. - The third line is a dashed line starting at the point (2, 1) and moving upwards. This indicates a different inequality where points on this line are not included in the solution set. 4. **Shaded Regions:** - Shading indicates the range of values that satisfy each inequality. The exact shading isn't clear from the black-and-white image but typically includes regions either above or below the lines. Understanding this graph involves interpreting the intersections, the nature of the lines (solid or dashed), and the shaded regions to solve linear inequalities and their combinations. --- The description above of the image ensures it is suitable for educational purposes, explaining the necessary details without requiring visual reference to the image itself.
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