What is the solution to the inequality x(x – 3) > 0?

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What is the solution to the inequality x(x – 3) > 0?

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Helga 3 years 2021-08-30T23:32:10+00:00 1 Answers 0 views 0

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  1. thienthanh
    0
    2021-08-30T23:33:30+00:00
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    Answer:

    The solution to the inequality is (-\infty, 0) \cup (3, \infty)

    Step-by-step explanation:

    We have a product, which is positive if both terms is positive or if both is negative.

    Both positive:

    x > 0

    x - 3 > 0 \rightarrow x > 3

    Then the intersection of these two is: x > 3

    Both negative:

    x < 0

    x - 3 < 0 \rightarrow x < 3

    Then the intersection of those two is: x < 0

    Then:

    Union of two solutions:

    x < 0 or x > 3

    Then

    (-\infty, 0) \cup (3, \infty)

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