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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Question
![**Title: Solving and Graphing Inequalities**
**Objective:**
Learn how to solve and graph the solution set for the inequality \(\frac{x}{2} > 3\).
**Instructions:**
1. **Solve the Inequality:**
- Start with the given inequality:
\[
\frac{x}{2} > 3
\]
- Multiply both sides by 2 to isolate \(x\):
\[
x > 6
\]
2. **Graph the Solution:**
- You need to represent the inequality \(x > 6\) on a number line.
- A number line is displayed with marked intervals from 0 to 20.
- To graph \(x > 6\):
- Draw an open circle at 6 to indicate that 6 is not included in the solution set.
- Shade the line and draw an arrow to the right of 6, showing all numbers greater than 6 are included.
**Graphing Tools Explanation:**
- The number line tool allows you to choose various options to graph inequalities:
- **Open Circle**: Indicates that the number at this point is not included in the solution (\(>\) or \(<\)).
- **Closed Circle**: Indicates that the number at this point is included in the solution (\(\geq\) or \(\leq\)).
- **Arrows**: Used to show the direction of the inequality (left for less than, right for greater than).
These tools are typically found under the number line to customize your graph according to the inequality you are solving.
**WebAssign Number Line:**
- This interface allows you to graph solutions interactively.
- Use the icons to select and apply the desired markers and lines to the number line.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6795bcee-481e-4cd9-9402-1dd9d1389a86%2F6109a9af-0e55-40da-b4a9-e82f3def8f1a%2F86y1cli_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Solving and Graphing Inequalities**
**Objective:**
Learn how to solve and graph the solution set for the inequality \(\frac{x}{2} > 3\).
**Instructions:**
1. **Solve the Inequality:**
- Start with the given inequality:
\[
\frac{x}{2} > 3
\]
- Multiply both sides by 2 to isolate \(x\):
\[
x > 6
\]
2. **Graph the Solution:**
- You need to represent the inequality \(x > 6\) on a number line.
- A number line is displayed with marked intervals from 0 to 20.
- To graph \(x > 6\):
- Draw an open circle at 6 to indicate that 6 is not included in the solution set.
- Shade the line and draw an arrow to the right of 6, showing all numbers greater than 6 are included.
**Graphing Tools Explanation:**
- The number line tool allows you to choose various options to graph inequalities:
- **Open Circle**: Indicates that the number at this point is not included in the solution (\(>\) or \(<\)).
- **Closed Circle**: Indicates that the number at this point is included in the solution (\(\geq\) or \(\leq\)).
- **Arrows**: Used to show the direction of the inequality (left for less than, right for greater than).
These tools are typically found under the number line to customize your graph according to the inequality you are solving.
**WebAssign Number Line:**
- This interface allows you to graph solutions interactively.
- Use the icons to select and apply the desired markers and lines to the number line.
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