Respuesta :

Space

Answer:

p > 32

General Formulas and Concepts:

Algebra I

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtraction Property of Equality

Step-by-step explanation:

*Note:

When multiplying or dividing by a negative in an inequality expression, we flip the sign.

Step 1: Define

Identify given.

[tex]\displaystyle \frac{-1}{2}p < -16[/tex]

Step 2: Solve for p

  1. [Multiplication Property of Equality] Multiply both sides by -2:
    [tex]\displaystyle -2 \cdot \frac{-1}{2}p > -16 \cdot -2[/tex]
  2. Simplify:
    [tex]\displaystyle \boxed{ p > 32 }[/tex]

∴ any number p greater than 32 would work as a solution to the inequality.

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Learn more about Algebra I: https://brainly.com/question/27755534

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Topic: Algebra I

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