Question

Solve inequality for x.​

Answer 1

x < 6

Explanation:

Hello!

We can solve inequalities the same way as we solve equations. The most important rule is that when you divide or multiply both sides by a negative number, flip the sign.

Solve for x

• -2x > -12
• -2x / -2 < -12 / -2 (flip the sign!)
• x < 6

The solution set for x is all values less than 6.

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

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtract Property of Equality

Explanation:

Step 1: Define

-2x > -12

Step 2: Solve for x

1. Divide -2 on both sides: x < 6

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