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wegnerkolmp2741o

Answer:

x≤2

Step-by-step explanation:

-6(4 - x) ≤-4(x + 1)

Distribute

-24 +6x≤ -4x-4

Add 4x to each side

-24 +6x+4x≤-4x-4+4x

-24 +10x≤ -4

add 24 to each side

-24+10x+24≤-4+24

10x≤20

Divide by 10

10x/10 ≤20/10

x≤2

Space

Answer:

D. x ≤ 2

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

Identify

-6(4 - x) ≤ -4(x + 1)

Step 2: Solve for x

  1. [Distributive Property] Distribute -6:                                                                 -24 + 6x ≤ -4(x + 1)
  2. [Distributive Property] Distribute -4:                                                                -24 + 6x ≤ -4x - 4
  3. [Addition Property of Equality] Add 4x on both sides:                                    -24 + 10x ≤ -4
  4. [Addition Property of Equality] Add 24 on both sides:                                  10x ≤ 20
  5. [Division Property of Equality] Divide 10 on both sides:                                 x ≤ 2

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