What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4

Question

What is the solution for this inequality? -10x ≤ 40 A. x ≤ -4 B. x ≤ 4 C. x ≥ -4 D. x ≥ 4

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Thiên Di 3 years 2021-07-26T09:57:10+00:00 2 Answers 4 views 0

Answers ( )

    0
    2021-07-26T09:58:39+00:00

    Answer:

    C. x ≥ -4

    Step-by-step explanation:

    To solve this inequality isolate the variable. Do this by using the properties of equality, specifically the division property. So, divide both sides by -10. This equals, x ≤ -4. However, whenever an inequality is divided or multiplied by a negative number the sign must be flipped. Therefore, the final answer is x ≥ -4.

    0
    2021-07-26T09:58:58+00:00

    Answer:

    C. x ≥ -4

    General Formulas and Concepts:

    Pre-Algebra

    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

    Identify

    -10x ≤ 40

    Step 2: Solve for x

    1. [Division Property of Equality] Divide -10 on both sides:                               x ≥ -4

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