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Twenty-seven minus 1.5  of a number (x) is not more than 36. What is the number?

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Translate this into symbols: 27 - 1.5x is equal to or less than 36. Find x.

Add 1.5x to both sides, so as to make the coefficient of x positive:

27 = 36 + 1.5x, or -9 = 1.5x, or x = -6 but also
x > -6

Check: let x = -6. Is the given equation then true?

27 = 36 + 1.5(-6) => -9 = -9? Yes.

Check: let x > -6. Is Twenty-seven minus 1.5 of a number (x) not more than 36? 27 - 1.5(0) not more than 36? True.

Thus, x is equal to or greater than -6.
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