Respuesta :

Space

Answer:

p > -3

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
  • Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-3(3p - 1) < 7p + 51

Step 2: Solve for p

  1. Distribute -3:                             -9p + 3 < 7p + 51
  2. Add 9p to both sides:              3 < 16p + 51
  3. Subtract 51 on both sides:       -48 < 16p
  4. Divide 16 on both sides:          -3 < p
  5. Rewrite:                                    p > -3

Here we see that any value p greater than -3 would work as a solution to the inequality.

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