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25 November, 21:16

The optimal depth (d) for catching a certain type of fish satisfies the inequality 28|d - 350| - 7000 < 0. Which solution represents the range of depth that offers the best catch?

A 250 < d < 300

B 100 < d < 600

C 300 < d < 350

D 10 < d < 400

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  1. 25 November, 21:44
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    28|d - 350| - 7000 < 0

    add 7000 to each side

    28|d - 350| < 7000

    divide both sides by 28

    |d - 350| < 250

    remove absolute value term on left so the right side becomes + / -

    d-350 < + / - 250

    now add 250 to 350 and subtract 250 from 350

    250 + 350 = 600

    350-250 = 100

    answer is: B 100 < d < 600
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