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Solve the inequality by first rewriting it as an equivalent inequality without absolute value bars. Express solution set using interval notation.

| x+3 | +8 is less than or equal to 14

Thanks so much for helping me!

  • Math -

    |x+3| + 8 <= 14,
    |x+3| <= 6,
    +-(x+3)<= 6,
    +(x+3) <= 6,
    x+3 >= 6,
    X <= 6-3,
    X <= 3.

    -(x+3) <= 6,
    -x - 3 <= 6,
    -x <= 6+3,
    -x <= 9,
    X >= -9.

    Solution set: -9 =< X <= 3.
    Intrval notation: [-9,3].

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