Question

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

Answer 1

Answer:

x < -12

General Formulas and Concepts:

Pre-Algebra

Distributive Property

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

16 < -2(x + 4)

Step 2: Solve for x

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 x smaller than -12 would work as a solution to the inequality.