**Educational Content: Graphing Linear Inequalities****Task:**Analyze the graphs to determine which one represents the inequality $ y > 4x - 3 $.**Description of Graphs:**1. **Graph 1:** - **Line Description:** Solid, diagonal line angled upwards intercepting the y-axis at -3. - **Shaded Region:** The region to the right of the line is shaded.2. **Graph 2:** - **Line Description:** Dashed, diagonal line intercepting the y-axis at -3. - **Shaded Region:** The region to the right of the line is shaded.3. **Graph 3:** - **Line Description:** Solid, diagonal line intercepting the y-axis at -3. - **Shaded Region:** The region to the left of the line is shaded.4. **Graph 4:** - **Line Description:** Dashed, diagonal line intercepting the y-axis at -3. - **Shaded Region:** The region to the left of the line is shaded.**Solution:**The inequality $ y > 4x - 3 $ is represented with a dashed line (since the inequality is strict, ">") with the region above (or to the right of) the line being shaded.- **Correct Graph:** Graph 2 represents the inequality correctly with a dashed line and shading to the right. **Question:**2. The shaded region of the graph represents which inequality?**Graph Explanation:**The graph shows a coordinate plane with a dashed line. The line has a negative slope, crossing the y-axis at (0, 1) and the x-axis at (3.5, 0). The region below the dashed line is shaded, indicating it is the solution region. Since the line is dashed, it represents a non-inclusive inequality.**Options:**- ⦿ $2x + 7y \leq 7$- ⃝ $2x + 7y < 7$- ⃝ $2x + 7y > 7$- ⃝ $2x + 7y \geq 7$

Answered: Which of the following graphs…

Math

Algebra

Which of the following graphs represents the region defined by the inequality y> 4x - y

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

**Educational Content: Graphing Linear Inequalities**

**Task:**
Analyze the graphs to determine which one represents the inequality $ y > 4x - 3 $.

**Description of Graphs:**

1. **Graph 1:**
- **Line Description:** Solid, diagonal line angled upwards intercepting the y-axis at -3.
- **Shaded Region:** The region to the right of the line is shaded.

2. **Graph 2:**
- **Line Description:** Dashed, diagonal line intercepting the y-axis at -3.
- **Shaded Region:** The region to the right of the line is shaded.

3. **Graph 3:**
- **Line Description:** Solid, diagonal line intercepting the y-axis at -3.
- **Shaded Region:** The region to the left of the line is shaded.

4. **Graph 4:**
- **Line Description:** Dashed, diagonal line intercepting the y-axis at -3.
- **Shaded Region:** The region to the left of the line is shaded.

**Solution:**
The inequality $ y > 4x - 3 $ is represented with a dashed line (since the inequality is strict, ">") with the region above (or to the right of) the line being shaded.

- **Correct Graph:** Graph 2 represents the inequality correctly with a dashed line and shading to the right.

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