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Andreas93 [3]
2 years ago
13

7a +42 +8< -10 + 9a -64a

Mathematics
1 answer:
Mamont248 [21]2 years ago
3 0

Answer:

a < -30/31

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  

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>

7a + 42 + 8 < -10 + 9a - 64a

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

  1. Combine like terms (a):                                                                                    7a + 42 + 8 < -10 - 55a
  2. Combine like terms:                                                                                         7a + 50 < -10 - 55a
  3. [Addition Property of Equality] Add 55a on both sides:                                62a + 50 < -10
  4. [Subtraction Property of Equality] Subtract 50 on both sides:                      62a < -60
  5. [Division Property of Equality] Divide 62 on both sides:                               a < -30/31

Here we see any number <em>a</em> less than -30/31 would work as a solution to the inequality.

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