Question

20 − 2x > −2(x + 2) + 4x

Answer 1

Answer:

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

Step-by-step 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.

Answer 2

Answer:

x<6

Step-by-step 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