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

A. {x: x ≥ -4}

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition 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

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