Question

Solve inequality for x : -46 - 8x > 22

Answer 1

Answer: x < −17/2

Explanation:

Let's solve your inequality step-by-step.

−46 − 8x > 22

Step 1: Simplify both sides of the inequality.

−8x − 46 > 22

Step 2: Add 46 to both sides.

−8x − 46 + 46 > 22 + 46

−8x > 68

Step 3: Divide both sides by -8.

−8x/−8 > 68/−8

x < −17/2

Answer 2

x < -17/2

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

Explanation:

Step 1: Define

Identify

-46 - 8x > 22

Step 2: Solve for x

1. [Addition Property of Equality] Add 46 on both sides: -8x > 68
2. [Division Property of Equality] Divide -8 on both sides: x < -17/2