Respuesta :

Space

Answer:

x > 4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right  

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

-4(8 - 3x) > 6x - 8

Step 2: Solve for x

  1. Distribute -4:                                                                                                   -32 + 12x > 6x - 8
  2. [Subtraction Property of Equality] Subtract 6x on both sides:                    -32 + 6x > -8
  3. [Addition Property of Equality] Add 32 on both sides:                                6x > 24
  4. [Division Property of Equality] Divide 6 on both sides:                                x > 4

Here we see that any value x greater than 4 would work as a solution to the inequality.

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