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Graph the solution set of the system of inequalities.

Graph the solution set of the system of inequalities.

Algebra and Trigonometry (6th Edition)
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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**Graphing the Solution Set of a System of Inequalities** **Inequalities:** 1. \( x - 8y < 3 \) 2. \( 8x + y > 3 \) **Instructions:** Use the graphing tool provided to visualize the solution set for the given system of inequalities. **Graph Details:** - The graph is a standard Cartesian plane with both the x-axis and y-axis ranging from -10 to 10. - Each axis is marked with grid lines to assist in plotting the equations accurately. **How to Graph:** - First, solve each inequality for y to identify the boundary lines. - Plot the boundary lines on the graph. - Determine which side of each line represents the solution set by testing a point (often the origin, if not on the line). - Shade the region that satisfies both inequalities. **Graph Tool:** - There is an option to enlarge the graph for a better view, indicated by a clickable icon. This activity helps in understanding how to graph systems of linear inequalities and find the region representing the solutions.
Transcribed Image Text:**Graphing the Solution Set of a System of Inequalities** **Inequalities:** 1. \( x - 8y < 3 \) 2. \( 8x + y > 3 \) **Instructions:** Use the graphing tool provided to visualize the solution set for the given system of inequalities. **Graph Details:** - The graph is a standard Cartesian plane with both the x-axis and y-axis ranging from -10 to 10. - Each axis is marked with grid lines to assist in plotting the equations accurately. **How to Graph:** - First, solve each inequality for y to identify the boundary lines. - Plot the boundary lines on the graph. - Determine which side of each line represents the solution set by testing a point (often the origin, if not on the line). - Shade the region that satisfies both inequalities. **Graph Tool:** - There is an option to enlarge the graph for a better view, indicated by a clickable icon. This activity helps in understanding how to graph systems of linear inequalities and find the region representing the solutions.
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