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Zigmanuir [339]
3 years ago
10

Solve the inequality: 16 < -2(x + 4)

Mathematics
1 answer:
Colt1911 [192]3 years ago
7 0

Answer:

x < -12

General Formulas and Concepts:

<u>Pre-Algebra</u>

Distributive Property

Equality Properties

  • Multiplication Property of Equality
  • Division Property of Equality
  • Addition Property of Equality
  • Subtract Property of Equality

Step-by-step explanation:

<u>Step 1: Define</u>

16 < -2(x + 4)

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

  1. Distribute -2:                          16 < -2x - 8
  2. Add 8 to both sides:             24 < -2x
  3. Divide -2 on both sides:       -12 > x
  4. Rewrite:                                 x < -12

Here we see that any number <em>x</em> smaller than -12 would work as a solution to the inequality.

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