Question

6. Consider the inequality 12<-3 (x + 4). Which value of xis part of the solution set of this inequality?

Answer 1

x < -8

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define inequality

12 < -3(x + 4)

Step 2: Solve for x

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

Here we see that any value x that is smaller than -8 would work.