Question

What's the x that will make the fraction greater than or equal to 75%

Please show the thought process to get to x=16

1/5 = 20%

x-4/x >= 75% (x => 16. 12/16 = 75%)

Thanks,

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Answer 1

9514 1404 393

Answer:

x ≥ 16 or x < 0

Explanation:

You want ...

(x -4)/x ≥ 3/4

4(x -4) ≥ 3x . . . . . . multiply by 4x (requires x > 0)

4x -16 ≥ 3x

x ≥ 16 . . . . . . . . . . add 16-3x

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For x < 0, multiplying by 4x gives ...

4(x -4) ≤ 3x

4x -16 ≤ 3x

x ≤ 16 . . . . . and x < 0

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There are two sets of solutions:

x < 0 or x ≥ 16