A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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Question
**Graph of the Inequality \( y \leq -1 \)**

The image shows a graphing interface for representing inequalities on a Cartesian plane. The specific inequality given is \( y \leq -1 \).

### Description of the Graph:

- **Axes**: The graph features standard x and y axes, each marked with hashmarks at integer intervals ranging from -5 to +5.
  
- **Grid**: A grid pattern aids in visualizing points and regions more easily.

- **Boundary Line**: The line \( y = -1 \) is represented as a horizontal line across the graph where y-value is -1. This line would typically appear as a dashed line to indicate that it is a boundary of the solution, relevant for an inequality rather than equality itself.

- **Shaded Region**: The shading typically appears below the line \( y = -1 \), covering all areas that satisfy \( y \leq -1 \). This includes points exactly on the line and any points with y-values less than -1.

### Interface Features:

- **Drawing Tools**: Below the graph, options to clear the graph or draw new lines are available, indicating interactive capabilities. Two buttons likely provide selection between pencil tools or types of lines but are not specifically detailed in the image.

- **Submit Question**: At the bottom of the interface, there is a "Submit Question" button, suggesting this graph is part of a question or problem-solving exercise.

This interface and graph are designed to help users visually understand and solve inequalities by plotting them on a coordinate grid, facilitating both analytical and visual learning.
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Transcribed Image Text:**Graph of the Inequality \( y \leq -1 \)** The image shows a graphing interface for representing inequalities on a Cartesian plane. The specific inequality given is \( y \leq -1 \). ### Description of the Graph: - **Axes**: The graph features standard x and y axes, each marked with hashmarks at integer intervals ranging from -5 to +5. - **Grid**: A grid pattern aids in visualizing points and regions more easily. - **Boundary Line**: The line \( y = -1 \) is represented as a horizontal line across the graph where y-value is -1. This line would typically appear as a dashed line to indicate that it is a boundary of the solution, relevant for an inequality rather than equality itself. - **Shaded Region**: The shading typically appears below the line \( y = -1 \), covering all areas that satisfy \( y \leq -1 \). This includes points exactly on the line and any points with y-values less than -1. ### Interface Features: - **Drawing Tools**: Below the graph, options to clear the graph or draw new lines are available, indicating interactive capabilities. Two buttons likely provide selection between pencil tools or types of lines but are not specifically detailed in the image. - **Submit Question**: At the bottom of the interface, there is a "Submit Question" button, suggesting this graph is part of a question or problem-solving exercise. This interface and graph are designed to help users visually understand and solve inequalities by plotting them on a coordinate grid, facilitating both analytical and visual learning.
Expert Solution
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Step 1

The provided equation is:

y-1

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