Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN: 9781337614085
Author: Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher: Cengage,
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Question
**Instruction:** 11. Graph the linear inequality. \[ y > \frac{3}{2}x + 5 \] **Explanation:** The image contains a Cartesian coordinate grid that ranges from -10 to 10 on both the x-axis and y-axis, with increments of 5. You are asked to graph the linear inequality \( y > \frac{3}{2}x + 5 \). To graph this inequality: 1. **Graph the boundary line:** Start by graphing the line \( y = \frac{3}{2}x + 5 \). This line will be dashed since the inequality is 'greater than' (>) and does not include equality. This indicates that points on the line are not solutions to the inequality. 2. **Determine the region to shade:** - Since the inequality is \( y > \frac{3}{2}x + 5 \), shade the entire region above the line. This represents all the points \((x, y)\) where the y-value is greater than \(\frac{3}{2}x + 5\). By following these steps, you will have successfully graphed the linear inequality on the coordinate grid.
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Transcribed Image Text:**Instruction:** 11. Graph the linear inequality. \[ y > \frac{3}{2}x + 5 \] **Explanation:** The image contains a Cartesian coordinate grid that ranges from -10 to 10 on both the x-axis and y-axis, with increments of 5. You are asked to graph the linear inequality \( y > \frac{3}{2}x + 5 \). To graph this inequality: 1. **Graph the boundary line:** Start by graphing the line \( y = \frac{3}{2}x + 5 \). This line will be dashed since the inequality is 'greater than' (>) and does not include equality. This indicates that points on the line are not solutions to the inequality. 2. **Determine the region to shade:** - Since the inequality is \( y > \frac{3}{2}x + 5 \), shade the entire region above the line. This represents all the points \((x, y)\) where the y-value is greater than \(\frac{3}{2}x + 5\). By following these steps, you will have successfully graphed the linear inequality on the coordinate grid.
For the relation \(\{(3,3), (2,6), (3,9), (4,12), (5,15)\}\): a. Is this relation a function? b. Find the domain of the relation. c. Find the range of the relation.
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Transcribed Image Text:For the relation \(\{(3,3), (2,6), (3,9), (4,12), (5,15)\}\): a. Is this relation a function? b. Find the domain of the relation. c. Find the range of the relation.
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Concept:

Treat the >,<,≥ or ≤ sign as a = sign when putting an inequality on a graph. Graph the equation as a dotted line if the inequality is either or. Graph the equation as a solid line if the inequality is either or. The x-y plane is split along this line into two regions: one that fulfils the inequality and the other that does not.

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