What value of x is in the solution set of 8x – 6 > 12 + 2x? ​

Question

What value of x is in the solution set of 8x – 6 > 12 + 2x? ​

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Adela 5 years 2021-08-31T17:04:41+00:00 2 Answers 20 views 0

Answers ( )

  1. hongcuc2
    0
    2021-08-31T17:06:25+00:00
    Reply

    Answer:

    x  > 3

    Step-by-step explanation:

    8x - 6 > 12 + 2x\\\\8x - 6 + 6 > 12 + 6 + 2x\\\\8x > 18 + 2x\\\\8x - 2x > 18 +2x-2x\\\\6x > 18\\\\\frac{6x>18}{6}\\\\\boxed{x > 3}

    Any value that is greater than 3 would be in the solution set for the inequality.

    Hope this helps.

  2. Vodka
    0
    2021-08-31T17:06:29+00:00
    Reply

    Answer:

    x > 3

    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

    Algebra I

    • Terms/Coefficients

    Step-by-step explanation:

    Step 1: Define

    Identify

    8x – 6 > 12 + 2x

    Step 2: Solve for x

    1. [Subtraction Property of Equality] Subtract 2x on both sides:                      6x – 6 > 12
    2. [Addition Property of Equality] Add 6 on both sides:                                     6x > 18
    3. [Division Property of Equality] Divide 6 on both sides:                                  x > 3

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