solve the inequality x(x+6) >16 please show steps and interval notation!​

Question

solve the inequality x(x+6) >16
please show steps and interval notation!​

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Thanh Thu 4 years 2021-08-02T22:50:00+00:00 1 Answers 21 views 0

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  1. Sapo1
    0
    2021-08-02T22:51:16+00:00
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    Answer:

    x > 2, x < -8

    Interval notation:

    ( -infinity, -8) U (2, infinity)

    Step-by-step explanation:

    x(x+6) > 16

    distribute x into x+6, multiply

    x^2 + 6x > 16

    bring 16 to left side, subtract

    x^2 + 6x – 16 > 0

    factors of -16 that add to +6 is -2 and +8

    (x – 2)(x + 8) > 0

    solve for x:

    x < -8,  x > 2

    Interval notation:

    ( -infinity, -8) U (2, infinity)

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )