### 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 \[ \

on the left-hand side, we have a sign so draw a solid horizontal line . on the left-hand side, we…

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)

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

### 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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