Question

Tell whether -3 is a solution of the inequality
3-4r >_ 15
​

Answer 1

-3 is a solution.

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

3 - 4r ≥ 15

Step 2: Solve for r

1. [Subtraction Property of Equality] Subtract 3 on both sides: -4r ≥ 12
2. [Division Property of Equality] Divide -4 on both sides: r ≤ -3

Step 3: Compare

1. Substitute in r: -3 ≤ -3

This is true. -3 is less than or equal to -3.