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20 November, 18:33

Solve |3x - 4| = 15 a. {-19/3, 19/3} b. {11/3, 19/3} c. {-11/3, 19/3}

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  1. 20 November, 21:36
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    First, we need to split this into two problems. One problem where the absolute value is positive, and one where the absolute value is negative.

    1. + (3X-4) = 15

    2. - (3X-4) = 15

    Now we need to solve. Let's solve "1" first

    3X-4=15

    First, we need to get 3X by itself. We do this by adding four to both sides.

    3X-4+4=15+4

    3X=19

    Now we divide both sides by 3.

    3X/3=19/3

    X=19/3

    Now we have one of our answers. However, all of the choices have 19/3 as part of the answer, so we cannot eliminate any choices.

    Next we solve our second problem.

    - (3X-4) = 15

    We must first get rid of the parentheses. Because the negative sign distributes, we must change the signs of 3X and - 4.

    - (3X-4) = 15

    -3X+4=15

    Now we need to get - 3X by itself. We do this by subtracting 4 from both sides.

    -3X+4-4=15-4

    -3X=11

    Now we need to divide both sides by - 3.

    (-3X) / (-3) = 11 / (-3)

    X=11 / (-3)

    The negative sign on the bottom affects the whole right side, so we can move the negative to the front.

    X=11 / (-3)

    X=-11/3

    Now that we have the second answer, we can say that the answer is "c."
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