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

Question

Mathematics

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20 March, 19:30

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

+4

Answers (1)

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Nikhil Diaz · Answer 1

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

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 < 300B 100 < d < 600C 300 < d < 350D 10 < d < 400

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