algebra

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solve te compound inequality
6 > -5x + 5 or 9 < - 3x + 4

  • algebra -

    Simplify both inequalities.

    6 > -5x + 5
    1 > -5x
    5x > -1
    x > -0.2

    9 < -3x + 4
    5 < -3x
    3x < -5
    x < -5/3

    Final answer:
    No solution

    If x > -0.2, it cannot be also less than -5/3

  • algebra -

    rewrite as
    5x > -1 OR 3x < -5
    x > -1/5 OR x < -5/3

    On a number line, draw a small open circle around -5/3 with an arrow on a line going to the left, and a small open circle around -1/5 with an arrow going to the right.

    In other words, the only numbers that will NOT work are between -5/3 and -1/5 inclusive.

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