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Zanzabum
3 years ago
15

Which of the following is the solution to the inequality below?

Mathematics
2 answers:
Sergeeva-Olga [200]3 years ago
7 0

Answer:

D. x ≤ 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u> </u>

<u>Algebra I</u>

  • Terms/Coefficients

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

-6(4 - x) ≤ -4(x + 1)

<u>Step 2: Solve for </u><em><u>x</u></em>

  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
dusya [7]3 years ago
6 0

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

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