Question

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




Answer 1

x > 4

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

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Explanation:

Step 1: Define

-4(8 - 3x) > 6x - 8

Step 2: Solve for x

1. Distribute -4: -32 + 12x > 6x - 8
2. [Subtraction Property of Equality] Subtract 6x on both sides: -32 + 6x > -8
3. [Addition Property of Equality] Add 32 on both sides: 6x > 24
4. [Division Property of Equality] Divide 6 on both sides: x > 4

Here we see that any value x greater than 4 would work as a solution to the inequality.