Question

4. What value of x makes the inequality true? 3(2x - 1) - 11x S -3x + 5

Answer 1

Answer:

A. {x: x ≥ -4}

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  

Distributive Property

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality
• Subtraction Property of Equality

Algebra I

• Terms/Coefficients
• {Builder Set Notation}

Step-by-step explanation:

Step 1: Define

Identify

3(2x - 1) - 11x ≤ -3x + 5

Step 2: Solve for x

1. [Distributive Property Distribute 3:                                                                  6x - 3 - 11x ≤ -3x + 5
2. [Subtraction] Combine like terms:                                                                   -5x - 3 ≤ -3x + 5
3. [Addition Property of Equality] Add 5x on both sides:                                   -3 ≤ 2x + 5
4. [Subtraction Property of Equality] Subtract 5 on both sides:                        -8 ≤ 2x
5. [Division Property of Equality] Divide 2 on both sides:                                  -4 ≤ x
6. Rewrite:                                                                                                             x ≥ -4