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||| Knowledge Check Graph the inequality in the coordinate plane. y<-4 -10. -8 96 fut 6 8. 10 X )) 5 4

||| Knowledge Check Graph the inequality in the coordinate plane. y<-4 -10. -8 96 fut 6 8. 10 X )) 5 4

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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The image is a screenshot of an online educational platform, ALEKS, conducting a Knowledge Check. The task is to graph the inequality \( y < -4 \) on a coordinate plane. ### Graph Description: - **Coordinate Plane**: The graph displays a standard Cartesian coordinate plane with both x and y-axes. The axes are labeled with numerical values increasing by units of one. The x-axis ranges from -10 to 10, and the y-axis ranges from -10 to 10. - **Inequality to Graph**: The given inequality is \( y < -4 \). - **Graphing Tools**: There is a toolset on the right of the graph which includes options for selecting, erasing, and drawing lines and points. ### Instructions for Graphing: 1. **Plot a Horizontal Line** at \( y = -4 \): Use the line tool from the toolset to draw a dashed horizontal line at \( y = -4 \) because the inequality is "less than" without an "equal to" component. 2. **Shade Below the Line**: Since the inequality is \( y < -4 \), shade the area below the horizontal line to indicate all values for which y is less than -4. ### User Interaction: - There are options at the bottom of the image to submit the graph or indicate if the user doesn't know how to solve the problem. This exercise helps students understand how to represent inequalities graphically on a coordinate plane.
Transcribed Image Text:The image is a screenshot of an online educational platform, ALEKS, conducting a Knowledge Check. The task is to graph the inequality \( y < -4 \) on a coordinate plane. ### Graph Description: - **Coordinate Plane**: The graph displays a standard Cartesian coordinate plane with both x and y-axes. The axes are labeled with numerical values increasing by units of one. The x-axis ranges from -10 to 10, and the y-axis ranges from -10 to 10. - **Inequality to Graph**: The given inequality is \( y < -4 \). - **Graphing Tools**: There is a toolset on the right of the graph which includes options for selecting, erasing, and drawing lines and points. ### Instructions for Graphing: 1. **Plot a Horizontal Line** at \( y = -4 \): Use the line tool from the toolset to draw a dashed horizontal line at \( y = -4 \) because the inequality is "less than" without an "equal to" component. 2. **Shade Below the Line**: Since the inequality is \( y < -4 \), shade the area below the horizontal line to indicate all values for which y is less than -4. ### User Interaction: - There are options at the bottom of the image to submit the graph or indicate if the user doesn't know how to solve the problem. This exercise helps students understand how to represent inequalities graphically on a coordinate plane.
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