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5 173³ -x - 3. Make sure to select solid or dashed line from below. 5 4 Graph the inequality y > -5 -4 -3 -2 -1 3 2 1 -1 -2 -3 -4 -5 1 2 3 4 5

5 173³ -x - 3. Make sure to select solid or dashed line from below. 5 4 Graph the inequality y > -5 -4 -3 -2 -1 3 2 1 -1 -2 -3 -4 -5 1 2 3 4 5

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 Linear Inequalities **Objective:** Graph the inequality \( y > \frac{5}{3}x - 3 \). **Instructions:** Make sure to select a solid or dashed line as appropriate from below. 1. **Identify the Equation:** The inequality given is \( y > \frac{5}{3}x - 3 \). 2. **Graph the Boundary Line:** To graph the inequality, start by graphing the boundary line \( y = \frac{5}{3}x - 3 \). - **Slope-Intercept Form:** Here, the slope (m) is \( \frac{5}{3} \) and the y-intercept (b) is -3. - **Plotting Points:** - Start at the y-intercept (0, -3). - Use the slope to identify another point. Slope \( \frac{5}{3} \) means rise over run, so from the y-intercept, move 5 units up and 3 units to the right to reach the point (3, 2). 3. **Dashed Line:** Since the inequality is strictly greater than ( \( > \) ), use a dashed line to indicate that points on the line itself are not included in the solution. 4. **Shading the Region:** Shade the area above the dashed line, representing all the points (x, y) where \( y \) is greater than \( \frac{5}{3}x - 3 \). 5. **Result:** - The graph consists of a dashed line passing through the points (0, -3) and (3, 2). - The region above this line is shaded. ### Explanation of the Graph: The coordinate system is a standard Cartesian plane with x and y axes marked from -5 to 5. The task requires plotting the given inequality. - \( x \)-axis ranges from -5 to 5. - \( y \)-axis ranges from -5 to 5. By following these steps, you can accurately graph the inequality \( y > \frac{5}{3}x - 3 \) on the provided grid.
Transcribed Image Text:### Graphing Linear Inequalities **Objective:** Graph the inequality \( y > \frac{5}{3}x - 3 \). **Instructions:** Make sure to select a solid or dashed line as appropriate from below. 1. **Identify the Equation:** The inequality given is \( y > \frac{5}{3}x - 3 \). 2. **Graph the Boundary Line:** To graph the inequality, start by graphing the boundary line \( y = \frac{5}{3}x - 3 \). - **Slope-Intercept Form:** Here, the slope (m) is \( \frac{5}{3} \) and the y-intercept (b) is -3. - **Plotting Points:** - Start at the y-intercept (0, -3). - Use the slope to identify another point. Slope \( \frac{5}{3} \) means rise over run, so from the y-intercept, move 5 units up and 3 units to the right to reach the point (3, 2). 3. **Dashed Line:** Since the inequality is strictly greater than ( \( > \) ), use a dashed line to indicate that points on the line itself are not included in the solution. 4. **Shading the Region:** Shade the area above the dashed line, representing all the points (x, y) where \( y \) is greater than \( \frac{5}{3}x - 3 \). 5. **Result:** - The graph consists of a dashed line passing through the points (0, -3) and (3, 2). - The region above this line is shaded. ### Explanation of the Graph: The coordinate system is a standard Cartesian plane with x and y axes marked from -5 to 5. The task requires plotting the given inequality. - \( x \)-axis ranges from -5 to 5. - \( y \)-axis ranges from -5 to 5. By following these steps, you can accurately graph the inequality \( y > \frac{5}{3}x - 3 \) on the provided grid.
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