Question

Can someone help me with this.

Answer 1

-5 < x < -4

General Formulas and Concepts:

Algebra I

• Equality Properties
• Standard Form: ax² + bx + c = 0
• Factoring
• Find roots

Explanation:

Step 1: Define

x² + 9x < -20

Step 2: Solve for x

1. Rewrite [SF]: x² + 9x + 20 < 0
2. Factor: (x + 5)(x + 4) < 0
3. Find roots: x < -5 and x < -4
4. Rewrite: -5 < x < -4

This tells us that the value of x must be between -5 and -4 in order to render the inequality true.