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27 September, 18:59

Solve the equation. |k + 7| = 3 A. {-4, 10} B. {-10, - 4} C. {-4, 4} D. {all real numbers greater than or equal to - 10 and less than or equal to - 4}

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  1. 27 September, 19:04
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    The absolute value sign makes it so that k+7 could be either - 3 or + 3 and the result would still be 3. This means there are two possible answers for k. The one that makes k+7=-3 and the one that makes k+7=+3. Just solve these two equations:

    k+7=-3

    k=-3-7

    k=-10

    k+7=3

    k=3-7

    k=-4

    So the possible answers are - 4 and - 10. B is the correct choice.
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