Question

What value of x is in the solution set of 8x - 6> 12 + 2x?
O -1
O0
O3
O5

Answer 1

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

Equality Properties

Explanation:

Step 1: Define Inequality

8x - 6 > 12 + 2x

Step 2: Solve for x

1. Subtract 2x on both sides: 6x - 6 > 12
2. Add 6 on both sides: 6x > 18
3. Divide 6 on both sides: x > 3

Here we see that any value x greater than 3 would work as a solution to the inequality.

∴ our answer is 5.