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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![### Solving Linear Inequalities
**Problem Statement:**
Solve the linear inequality and express the solution using interval notation.
\[ 1 - 3x \leq -(1 + 5x) \]
**Solution Box:**
\[ \_\_\_\_\_ \]
**Graphical Representation:**
Graph the solution set using the provided number line tool.
**Instructions:**
Use the tools provided in the interface to correctly graph the solution. The number line allows you to plot values and intervals to visually represent the solution set.
**Graph Description:**
The number line displayed ranges from -10 to 10 with major ticks every 1 unit. The interface includes several tools:
- Point tool to mark specific values on the line.
- Interval tools to denote open or closed intervals.
- Open and closed bracket tools for denoting inclusive and exclusive boundaries.
- Eraser tool to correct mistakes.
**Assistance:**
If you need help solving this problem, there is a "Watch It" button available that provides a visual step-by-step explanation.
### How to Solve the Inequality:
1. Begin by simplifying both sides of the inequality.
2. Combine like terms and isolate the variable.
3. Determine the solution set and express it in interval notation.
4. Use the graphing tool to visually represent the solution on the number line.
For further clarification, use the tools provided to illustrate the solution correctly.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7ad8a3e2-d44f-406e-ad02-79162c0dd845%2F9954ebb1-d387-4d3c-8fc9-f4f62ca78ee3%2Fdcc8xao_processed.png&w=3840&q=75)
Transcribed Image Text:### Solving Linear Inequalities
**Problem Statement:**
Solve the linear inequality and express the solution using interval notation.
\[ 1 - 3x \leq -(1 + 5x) \]
**Solution Box:**
\[ \_\_\_\_\_ \]
**Graphical Representation:**
Graph the solution set using the provided number line tool.
**Instructions:**
Use the tools provided in the interface to correctly graph the solution. The number line allows you to plot values and intervals to visually represent the solution set.
**Graph Description:**
The number line displayed ranges from -10 to 10 with major ticks every 1 unit. The interface includes several tools:
- Point tool to mark specific values on the line.
- Interval tools to denote open or closed intervals.
- Open and closed bracket tools for denoting inclusive and exclusive boundaries.
- Eraser tool to correct mistakes.
**Assistance:**
If you need help solving this problem, there is a "Watch It" button available that provides a visual step-by-step explanation.
### How to Solve the Inequality:
1. Begin by simplifying both sides of the inequality.
2. Combine like terms and isolate the variable.
3. Determine the solution set and express it in interval notation.
4. Use the graphing tool to visually represent the solution on the number line.
For further clarification, use the tools provided to illustrate the solution correctly.
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