Solve the compound linear inequality graphically. Write the solution set in interval notation, and approximate endpoints to the nearest tenth whenever appropriate. 2 4x- 11< 10 Choose the correct graph on the right. Choose the correct solution set in interval notation below. O A. [3.3,00) O B. (-0.3.3] O C. [0.3.2.3) O D. (3.3.5.3) O E. [3.3,5.3) OF. (2.3,00)
Solve the compound linear inequality graphically. Write the solution set in interval notation, and approximate endpoints to the nearest tenth whenever appropriate. 2 4x- 11< 10 Choose the correct graph on the right. Choose the correct solution set in interval notation below. O A. [3.3,00) O B. (-0.3.3] O C. [0.3.2.3) O D. (3.3.5.3) O E. [3.3,5.3) OF. (2.3,00)
Algebra and Trigonometry (6th Edition)
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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 Compound Linear Inequality Graphically
**Problem Statement:**
Solve the compound linear inequality graphically. Write the solution set in interval notation, and approximate endpoints to the nearest tenth whenever appropriate.
**Inequality to Solve:**
\[ 2 \leq 4x - 11 < 10 \]
**Tasks:**
1. **Choose the correct graph on the right.**
2. **Choose the correct solution set in interval notation below.**
- A. \([3.3, \infty)\)
- B. \((-\infty, 3.3]\)
- C. \([0.3, 2.3)\)
- D. \((3.3, 5.3)\)
- E. \([3.3, 5.3)\)
- F. \((2.3, \infty)\)
**Graphs:**
- **Graph A:**
- The graph features a red and a blue horizontal line, and a pink diagonal line.
- The red line is horizontal at \( y = 0 \) and the blue line is horizontal at \( y = 10 \).
- The pink line intersects the x-axis around \( x = 5 \).
- **Graph B:**
- Same lines as graph A but has different intersections.
- Pink line intersects the x-axis around \( x = -2.5 \).
- **Graph C:**
- Contains the same lines as graph B & A.
- The pink diagonal line starts at \( y = 20 \) for smaller \( x \) values and intersects the x-axis around \( x = 2.5 \).
- **Graph D:**
- Identical horizontal blue and red lines.
- The pink line’s intersection point with the x-axis is different, here it crosses around \( x = 8 \).
**Solution Steps:**
1. Solve the inequality algebraically to get numerical values:
\[
\begin{aligned}
2 &\leq 4x - 11 \\
13 &\leq 4x \\
\frac{13}{4} &\leq x \\
3.25 &\leq x \\
\end{aligned}
\]
AND
\[
\](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7bd99ef-7092-4177-9c19-951c55d49391%2F2e8c86d4-4d3a-42a3-9ce0-5e8e7274146e%2Fvvpuyit_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Solving Compound Linear Inequality Graphically
**Problem Statement:**
Solve the compound linear inequality graphically. Write the solution set in interval notation, and approximate endpoints to the nearest tenth whenever appropriate.
**Inequality to Solve:**
\[ 2 \leq 4x - 11 < 10 \]
**Tasks:**
1. **Choose the correct graph on the right.**
2. **Choose the correct solution set in interval notation below.**
- A. \([3.3, \infty)\)
- B. \((-\infty, 3.3]\)
- C. \([0.3, 2.3)\)
- D. \((3.3, 5.3)\)
- E. \([3.3, 5.3)\)
- F. \((2.3, \infty)\)
**Graphs:**
- **Graph A:**
- The graph features a red and a blue horizontal line, and a pink diagonal line.
- The red line is horizontal at \( y = 0 \) and the blue line is horizontal at \( y = 10 \).
- The pink line intersects the x-axis around \( x = 5 \).
- **Graph B:**
- Same lines as graph A but has different intersections.
- Pink line intersects the x-axis around \( x = -2.5 \).
- **Graph C:**
- Contains the same lines as graph B & A.
- The pink diagonal line starts at \( y = 20 \) for smaller \( x \) values and intersects the x-axis around \( x = 2.5 \).
- **Graph D:**
- Identical horizontal blue and red lines.
- The pink line’s intersection point with the x-axis is different, here it crosses around \( x = 8 \).
**Solution Steps:**
1. Solve the inequality algebraically to get numerical values:
\[
\begin{aligned}
2 &\leq 4x - 11 \\
13 &\leq 4x \\
\frac{13}{4} &\leq x \\
3.25 &\leq x \\
\end{aligned}
\]
AND
\[
\
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