Which number line represents the solution set for the inequality –(1/2)x ≥ 4?

Question

Which number line represents the solution set for the inequality –(1/2)x ≥ 4?

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Harper 2 weeks 2021-11-21T14:14:46+00:00 2 Answers 0

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    0
    2021-11-21T14:16:18+00:00

    When the sign is ≤ or ≥ (less/greater than or equal to), the dot is filled in.

    When the sign is < or >, the dot is not filled in and looks like this o

    To find out which number line represents the solution set, simplify the inequality and isolate x

    -\frac{1}{2}x\geq4    Multiply -2 on both sides to get rid of -1/2

    (-2)(-\frac{1}{2}x)\geq4(-2)

    x ≤ -8       (The sign flips when you multiply/divide a negative number on both sides of the inequality)

    so you get x is greater than or equal to -8, so you have a filled in circle on -8, and the arrow should be going to the right since x is greater than -8

    0
    2021-11-21T14:16:35+00:00

    answer : second choice / b

    we have

    -1/2x >_ 4

    Solve the inequality

    Multiply by both sides—–> remember change inequality sign

    x<_ -4(2)

    x<_ -8

    the solution is the interval———–> (-∞,-8]

    using a graph tool

    see the attached figure

    the solution is the shaded area:

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