algebra

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define a variable, write an iquality, and solve the problem below. then check your solution.
"seven minus two times a number is less than three times the number plus thirty-two"
7-2*x<3x+32 is this right so far? what goes next?

  • algebra -

    Yes, you are right so far.

    7 - 2x < 3x + 32

    Treat it like a regular equation question.

    Combine like terms and solve for x.

    7 - 32 = 2x + 3x

    -25 = 5x

    -25/5 = x

    -5 = x

    Checking:

    7 - 2x < 3x + 32

    7 - 2(-5) < 3(-5) + 32

    7 + 10 < -15 + 32

    17 < 17....This is not true.

    What does this mean? It means that there are no solutions to this inequality.

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