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19 3x+ay229 x20, Y>の

19 3x+ay229 x20, Y>の

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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Graph the solution of the system of inequalities.

What is step by step solution to graph?

 

The image contains a task related to graphing the solution of a system of inequalities. The instructions and inequalities given are: **Instructions:** "Graph the solution of the system of inequalities." **System of Inequalities:** 1. \( x + 2y \geq 19 \) 2. \( 3x + 2y \geq 29 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) **Explanation for Graphing:** To graph this system of inequalities, you'll need to: 1. **Identify each inequality:** - For \( x + 2y \geq 19 \), rearrange to find the boundary line: \( y \geq -\frac{1}{2}x + \frac{19}{2} \). - For \( 3x + 2y \geq 29 \), rearrange to find the boundary line: \( y \geq -\frac{3}{2}x + \frac{29}{2} \). 2. **Choose test points:** Select points (such as the origin) to see which side of each line is included in the solution. 3. **Consider constraints:** \( x \geq 0 \) and \( y \geq 0 \) confines the solution to the first quadrant. 4. **Shade the solution region:** The solution set is where all shaded areas overlap. This task involves drawing the boundary lines on a graph and determining the feasible region that satisfies all given inequalities.
Transcribed Image Text:The image contains a task related to graphing the solution of a system of inequalities. The instructions and inequalities given are: **Instructions:** "Graph the solution of the system of inequalities." **System of Inequalities:** 1. \( x + 2y \geq 19 \) 2. \( 3x + 2y \geq 29 \) 3. \( x \geq 0 \) 4. \( y \geq 0 \) **Explanation for Graphing:** To graph this system of inequalities, you'll need to: 1. **Identify each inequality:** - For \( x + 2y \geq 19 \), rearrange to find the boundary line: \( y \geq -\frac{1}{2}x + \frac{19}{2} \). - For \( 3x + 2y \geq 29 \), rearrange to find the boundary line: \( y \geq -\frac{3}{2}x + \frac{29}{2} \). 2. **Choose test points:** Select points (such as the origin) to see which side of each line is included in the solution. 3. **Consider constraints:** \( x \geq 0 \) and \( y \geq 0 \) confines the solution to the first quadrant. 4. **Shade the solution region:** The solution set is where all shaded areas overlap. This task involves drawing the boundary lines on a graph and determining the feasible region that satisfies all given inequalities.
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