Respuesta :

Space

Answer:

a > 11

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

Algebra I

  • Terms/Coefficients

Step-by-step explanation:

Step 1: Define

7a + 42 + 8 < -10 + 9a - 6 + 4a

Step 2: Solve for a

  1. Combine like terms (a):                                                                                    7a + 42 + 8 < -10 + 13a - 6
  2. Combine like terms:                                                                                         7a + 50 < 13a - 16
  3. [Subtraction Property of Equality] Subtract 7a on both sides:                      50 < 6a - 16
  4. [Addition Property of Equality] Add 16 on both sides:                                   66 < 6a
  5. [Division Property of Equality] Divide 6 on both sides:                                  11 < a
  6. Rewrite:                                                                                                             a > 11

Here we see that any value a greater than 11 would work as a solution to the inequality.

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