Answer:
x ≥ -3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS 
- Brackets 
- Parenthesis 
- Exponents 
- Multiplication 
- Division 
- Addition 
- Subtraction 
Equality Properties 
- Multiplication Property of Equality 
- Division Property of Equality 
- Addition Property of Equality 
- Subtraction Property of Equality 
Algebra I
Explanation:
Step 1: Define
Identify
-4x - 2 ≤ 10
Step 2: Solve for x
- [Addition Property of Equality] Add 2 on both sides: -4x ≤ 12
- [Division Property of Equality] Divide -4 on both sides: x ≥ -3
Here we see that any number x greater than or equal to -3 would work as a solution to the inequality.