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14 August, 21:48

Eight plus four times a number is greater than five times the number

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  1. 15 August, 00:12
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    First, you must translate the words into variables and symbols.

    "eight plus four times a number" would equal 8 + 4 times a number, or simply "x," because we don't know it's value.

    Now we have 8 + 4x on the left side of the inequality. Simply do the same to the right side of the inequality.

    "is greater than five times the number" would translate to ">" 5 times the number. Because it says "the number," we know it is referring to "x" and not some other variable of "y" or "z."

    Therefore, > 5x

    Put both sides together.

    8 + 4x > 5x

    Now solve for the inequality. Try to isolate known numbers on one side and terms with a coefficient on the other. In this case, subtract the term "4x" from both sides in order to get 8 on one side and the like terms of "5x" and "4x" on the other.

    8 + 4x - 4x > 5x - 4x

    8 > 1x

    1x simplifies to x.

    8 > x
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