Question

Which value of x is the solution set of 2(3x-1)≥4x-6

Answer 1

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

1. Distribute 2: 6x - 2 ≥ 4x - 6
2. Subtract 4x on both sides: 2x - 2 ≥ -6
3. Add 2 on both sides: 2x ≥ -4
4. Divide 2 on both sides: x ≥ -2

Here we see that any value x greater than or equal to -2 would work as a solution.