Question

Which is the best solution set for the inequality 9 - 5x < 54 ?

Answer 1

x > -9

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

9 - 5x < 54

Step 2: Solve for x

1. [Subtraction Property of Equality] Subtract 9 on both sides: -5x < 45
2. [Division Property of Equality] Divide -5 on both sides: x > -9

Here we see that any value x greater than -9 would work as a solution to the inequality.