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Answer:

-5 < x < -4

General Formulas and Concepts:

Algebra I

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

Step-by-step 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.

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