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13 August, 00:08

Solve the inequality. 7 - 9x > 4 - 11x

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  1. 13 August, 02:45
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    To make the inequality true, the value of x will be greater than - 1.5.

    7 - 9x > 4 - 11x

    We can treat this like a normal algebraic equation.

    Add 11x to both sides.

    7 + 2x > 4

    Subtract 7 from both sides.

    2x > - 3

    Divide both sides by 2.

    x = - 1.5

    We can plug this value in, and both equations should be equal.

    7 - 9 (-1.5) = 4 - 11 (-1.5)

    7 + 13.5 = 4 + 16.5

    20.5 = 20.5

    The value of x stands.

    If we use a value of 2 for x, the expression on the left will be greater than the expression on the right.

    7 - 9 (2) > 4 - 11 (2)

    7 - 18 > 4 - 22

    -11 > - 18
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