Question

What value of x is in the solution set of -2(3×+2)>-8×+6

Answer 1

x > 5

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

-2(3x + 2) > -8x + 6

Step 2: Solve for x

1. [Distributive Property] Distribute -2: -6x - 4 > -8x + 6
2. [Addition Property of Equality] Add 8x on both sides: 2x - 4 > 6
3. [Addition Property of Equality] Add 4 on both sides: 2x > 10
4. [Division Property of Equality] Divide 2 on both sides: x > 5

∴ Any number x greater than 5 works as a solution to the inequality.