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3 years ago

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

Mathematics

1 answer:

NNADVOKAT [17]3 years ago

6 0

Answer:

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 ≤ x
Rewrite: x ≥ -4

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Step-by-step explanation:

Given:

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