Question

-36x - 24 ≤ -6(5x + 12)​

Answer 1

x ≥ 8

General Formulas and Concepts:

Pre-Alg

• Order of Operations: BPEMDAS
• Equality Properties

Explanation:

Step 1: Define inequality

-36x - 24 ≤ -6(5x + 12)

Step 2: Solve for x

1. Distribute -6: -36x - 24 ≤ -30x - 72
2. Add 36 on both sides: -24 ≤ 6x - 72
3. Add 72 on both sides: 48 ≤ 6x
4. Divide both sides by 6: 8 ≤ x
5. Rewrite: x ≥ 8

Here we see that any number x greater than or equal to 8 would work as a solution.