Question

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

Answer 1

Answer:

-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

Step-by-step 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.