Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question
The image contains a set of graphs displaying linear inequalities. The two inequalities provided are: 1. \(3x + y > -1\) 2. \(x + 2y \leq 8\) Each graph has a grid with an x-axis and a y-axis, with different shading to represent the solution regions of the inequalities. **Graph Descriptions:** 1. **Top-Left Graph:** - The graph shows a solid line, indicating the boundary for one of the inequalities. - The shaded region is below the line, which represents the solution set. 2. **Bottom-Left Graph:** - The graph displays a dashed line. - The shading is to the right side of the line. 3. **Top-Right Graph:** - This graph illustrates a solid line. - The shaded region is above and to the left of the line. 4. **Bottom-Right Graph:** - Shows both a solid and a dashed line intersecting. - The shaded area is below both lines, indicating an overlap of solution sets. The task likely involves identifying which graph correctly represents the solution set for both inequalities combined.
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Transcribed Image Text:The image contains a set of graphs displaying linear inequalities. The two inequalities provided are: 1. \(3x + y > -1\) 2. \(x + 2y \leq 8\) Each graph has a grid with an x-axis and a y-axis, with different shading to represent the solution regions of the inequalities. **Graph Descriptions:** 1. **Top-Left Graph:** - The graph shows a solid line, indicating the boundary for one of the inequalities. - The shaded region is below the line, which represents the solution set. 2. **Bottom-Left Graph:** - The graph displays a dashed line. - The shading is to the right side of the line. 3. **Top-Right Graph:** - This graph illustrates a solid line. - The shaded region is above and to the left of the line. 4. **Bottom-Right Graph:** - Shows both a solid and a dashed line intersecting. - The shaded area is below both lines, indicating an overlap of solution sets. The task likely involves identifying which graph correctly represents the solution set for both inequalities combined.
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