Question

What value of x is in the solution set of 8x – 6 > 12 + 2x? ​

Answer 1

Answer:

x  > 3

Step-by-step explanation:

$8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}$

Any value that is greater than 3 would be in the solution set for the inequality.

Hope this helps.

Answer 2

Answer:

x > 3

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
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

8x - 6 > 12 + 2x

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract 2x on both sides:                      6x - 6 > 12
2. [Addition Property of Equality] Add 6 on both sides:                                     6x > 18
3. [Division Property of Equality] Divide 6 on both sides:                                  x > 3