Answer:
x ≤ -5
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Explanation:
Step 1: Define Inequality
-4x + 10 ≥ 5x + 55
Step 2: Solve for x
- Add 4x on both sides: 10 ≥ 9x + 55
- Isolate x term: -45 ≥ 9x
- Isolate x: -5 ≥ x
- Rewrite: x ≤ -5
Here we see that any value x smaller than or equal to -5 would work as a solution to the inequality.