https://file.aiquickdraw.com/mathbot/file/1726061895327cddghp4h.jpg

You've provided an image with mathematical sentences and two questions related to quadratic inequalities. Let's address them one by one.

### Part 1: Determining Quadratic Inequalities
Here are the identifications for each mathematical sentence in the image:
1. \( x^2 + 9x + 14 > 0 \) — Quadratic inequality
2. \( 3s^2 - 5s = 1 \) — Quadratic equation (not inequality)
3. \( 4t^2 - 7t + 2 \leq 0 \) — Quadratic inequality
4. \( x^2 < 10x - 3 \) — Quadratic inequality
5. \( 12 - 5x + x^2 = 0 \) — Quadratic equation (not inequality)
6. \( 3m + 20 \geq 0 \) — Linear inequality (not quadratic)
7. \( (2r - 5)(r + 4) > 0 \) — Quadratic inequality
8. \( x^2 - 1 < x + 1 \) — Quadratic inequality
9. \( (4h^2 - 9) + (2h + 3) \geq 0 \) — Quadratic inequality
10. \( 15 - 2x = 3x^2 \) — Quadratic equation (not inequality)

### Part 2: Addressing Questions
a. **How do you describe quadratic inequalities?**
   Quadratic inequalities are

Determine whether each mathematical sentence is a quadratic inequality or not. Answer the questions that follow.

Learn how to determine if a mathematical sentence is a quadratic inequality. This exercise covers quadratic inequalities, equations, and linear inequalities, with detailed explanations for students in Grades 9-12.

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