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)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**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.
Transcribed Image Text:**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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