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Solving Inequalities 2x-2 < x+4 <3x-2?

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  • ?
    Lv 7
    6 years ago
    Favorite Answer

    2x - 2 < x + 4 < 3x - 2

    Handle as two separate inequalities

    --------------------------

    2x - 2 < x + 4

    Subtract x from both sides

    x - 2 < 4

    Add 2 to both sides

    x < 6

    --------------------------

    x + 4 < 3x - 2

    Subtract x from both sides

    4 < 2x - 2

    Add 2 to both sides

    6 < 2x

    Divide both sides by 2

    3 < x

    --------------------------

    Combine both solutions

    3 < x < 6 <------

    m01162015

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