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MATH 116

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You are planning to spend no less than $6,000 and no more than $10,000 on your landscaping project. Write an inequality that demonstrates how much money you will be willing to spend on the project.
How can I write an equation to fit this? $10,000=$6,000-n?

  • MATH 116 -

    Let's first consider why $10,000=$6,000-n is wrong. It only has an equal sign, and if we subtract 6000 from both sides, we get n=4000, which is definitely not right; n could be 6001, or 10000, or 6789.

    We need two inequality signs to express this.

    What do we know?

    n is greater than or equal to 6000


    n is less than or equal to 10000

    We could write:

    6000 <= n <= 1000

    which is exactly that, or we could phrase it as "n is somewhere between or including 6000 through 10000" which I can write as
    n is a member of [6000, 10000]

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