**Quadratic Inequality Representation**Consider the quadratic inequality: \[ 6x^2 \geq 13x + 5 \]**Which representation does not represent the solution to the quadratic inequality?**1. **Option A:** \[ x \leq -\frac{1}{3} \quad \text{or} \quad x \geq \frac{5}{2} \] 2. **Option B:** \[ (-\infty, -\frac{1}{3}] \cup [\frac{5}{2}, \infty) \] 3. **Option C:** \[ \{x \mid x \in \mathbb{R}, x \leq -\frac{1}{3} \quad \text{or} \quad x \geq \frac{5}{2}\} \]4. **Option D: Number Line Representation:** - The number line runs from -4 to 4. - Points at -1/3 and 5/2 are marked with solid dots, indicating they are included in the solution set. - The number line is shaded to the left of -1/3 and to the right of 5/2, showing the solution extends infinitely in both directions.**Note:** Select the representation that does not correctly describe the solution set of the inequality.

Answered: 6x 2 13x+ 5 Which representation does…

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6x 2 13x+ 5 Which representation does not represent the solution to the quadratic inequality? XS-3 or x2 2

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

**Quadratic Inequality Representation**

Consider the quadratic inequality:

\[ 6x^2 \geq 13x + 5 \]

**Which representation does not represent the solution to the quadratic inequality?**

1. **Option A:**
\[
x \leq -\frac{1}{3} \quad \text{or} \quad x \geq \frac{5}{2}
\]

2. **Option B:**
\[
(-\infty, -\frac{1}{3}] \cup [\frac{5}{2}, \infty)
\]

3. **Option C:**
\[
\{x \mid x \in \mathbb{R}, x \leq -\frac{1}{3} \quad \text{or} \quad x \geq \frac{5}{2}\}
\]

4. **Option D: Number Line Representation:**

- The number line runs from -4 to 4.
- Points at -1/3 and 5/2 are marked with solid dots, indicating they are included in the solution set.
- The number line is shaded to the left of -1/3 and to the right of 5/2, showing the solution extends infinitely in both directions.

**Note:** Select the representation that does not correctly describe the solution set of the inequality.

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