Solve the inequality and graph the solution. -2+3(8p + 1)– 16p < 6p – 9 The solution is (Tyne VOur apquIO
Solve the inequality and graph the solution. -2+3(8p + 1)– 16p < 6p – 9 The solution is (Tyne VOur apquIO
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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![### Solving and Graphing Inequalities
In this section, we will solve the inequality and ensure we graph the solution accurately.
#### Problem Statement
Solve the inequality and graph the solution:
\[ -2 + 3(8p + 1) - 16p < 6p - 9 \]
#### Instructions
1. **Determine the solution**:
- Please simplify the inequality step by step.
- Provide the answer in interval notation. Use integers or fractions for any numbers in the expression.
2. **Choose the correct graph**:
- Out of the provided graphs (A, B, C, D), select the one that accurately represents the solution.
#### Graph Details
- **Graph A**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and an arrow extending in the positive direction.
- **Graph B**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and an arrow extending in the negative direction.
- **Graph C**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and extending to \( p = -2 \), inclusive. An open circle at \( p = -2 \), indicating \( p = -2 \) is not included in the solution.
- **Graph D**: Number line from -8 to 8. A solid blue line starting from \( p = -2 \) and extends in the negative direction with an arrow.
**Select the graph that accurately shows the solution to the inequality above.**](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F57708f6a-cbd4-4295-9f28-330268fec57a%2F6e8c233b-7bdc-4e39-8809-2a0177bb35a5%2Fci9qjdn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving and Graphing Inequalities
In this section, we will solve the inequality and ensure we graph the solution accurately.
#### Problem Statement
Solve the inequality and graph the solution:
\[ -2 + 3(8p + 1) - 16p < 6p - 9 \]
#### Instructions
1. **Determine the solution**:
- Please simplify the inequality step by step.
- Provide the answer in interval notation. Use integers or fractions for any numbers in the expression.
2. **Choose the correct graph**:
- Out of the provided graphs (A, B, C, D), select the one that accurately represents the solution.
#### Graph Details
- **Graph A**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and an arrow extending in the positive direction.
- **Graph B**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and an arrow extending in the negative direction.
- **Graph C**: Number line from -8 to 8. A solid blue line starting from \( p = -8 \) and extending to \( p = -2 \), inclusive. An open circle at \( p = -2 \), indicating \( p = -2 \) is not included in the solution.
- **Graph D**: Number line from -8 to 8. A solid blue line starting from \( p = -2 \) and extends in the negative direction with an arrow.
**Select the graph that accurately shows the solution to the inequality above.**
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