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Math·Algebra·Linear inequalities in one or two variables

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A geologist estimates that the volume of a boulder is greater than $14.6$ cubic feet but less than $18.6$ cubic feet. The geologist also estimates that the boulder weighs $160$ pounds per cubic foot of volume. Which inequality represents this situation, where $x$ represents the estimated total weight, in pounds, of the boulder?

A

$160-18.6<x<160-14.6$

B

$160+14.6<x<160+18.6$

C

$160(14.6)<x<160(18.6)$

D

$\frac{160}{18.6}<x<\frac{160}{14.6}$