# algebra

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?

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1. 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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