college algebra homework help??

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  • 1 month ago

    To be less than zero, either the top is negative while the bottom is positive, or vice versa.

    Case 1: 

    top positive when x > 3

    bottom negative when -5 < x < 7 so those together give 3 < x < 7

    case 2:

    top negative when x < 3

    bottom positive when x > 7 or x < -5 so those together give x < -5

    Answer: x < -5 or 3 < x < 7

    Interval notation: (-∞, -5) U (3,7)

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