Respuesta :

Space

Answer:

x ≥ 8

General Formulas and Concepts:

Pre-Alg

  • Order of Operations: BPEMDAS
  • Equality Properties

Step-by-step explanation:

Step 1: Define inequality

-36x - 24 ≤ -6(5x + 12)

Step 2: Solve for x

  1. Distribute -6:                         -36x - 24 ≤ -30x - 72
  2. Add 36 on both sides:         -24 ≤ 6x - 72
  3. Add 72 on both sides:          48 ≤ 6x
  4. Divide both sides by 6:         8 ≤ x
  5. Rewrite:                                  x ≥ 8

Here we see that any number x greater than or equal to 8 would work as a solution.

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