Question

20 − 2x > −2(x + 2) + 4x

Answer 1

x<6

Explanation:

expand

subtract 20 from both sides

simplify

subtract 2x from both sides

simplify

multiply both sides by -1(reverse the inequality)

simplify

divide both sides by 4

simplify

Answer 2

x < 6

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

20 - 2x > -2(x + 2) + 4x

Step 2: Solve for x

1. Distribute -2: 20 - 2x > -2x - 4 + 4x
2. Combine like terms: 20 - 2x > 2x - 4
3. Add 2x on both sides: 20 > 4x - 4
4. Isolate x term: 24 > 4x
5. Isolate x: 6 > x
6. Rewrite: x < 6

Here we see that any value x less than 6 would work as a solution to the inequality.