Respuesta :

Space

Answer:

[tex]\displaystyle x \leq 12[/tex]

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  

Equality Properties

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

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle -\frac{3}{4}x + 2 \leq -7[/tex]

Step 2: Solve for x

  1. [Subtraction Property of Equality] Isolate x term:                                           [tex]\displaystyle -\frac{3}{4}x \leq -9[/tex]
  2. [Division Property of Equality] Isolate x:                                                         [tex]\displaystyle x \leq 12[/tex]

Here we see that any value x smaller than or equal to 12 would work as a solution to the inequality.

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