Question

What is the solution to -4(8 – 3x) >_ 6x – 8?

Answer 1

x ≥ 4

General Formulas and Concepts:

Pre-Algebra

• Equality Properties

Explanation:

Step 1: Define inequality

-4(8 - 3x) ≥ 6x - 8

Step 2: Solve for x

1. Distribute -4: -32 + 12x ≥ 6x - 8
2. Subtract 6x on both sides: -32 + 6x ≥ -8
3. Add 32 on both sides: 6x ≥ 24
4. Divide 6 on both sides: x ≥ 4

Here we see that x can be any value greater than or equal to 4.