An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.What are the possible values of x?

The volume is 2x(x − 1)(x + 2), and it must be at most 280. Since all dimensions must be positive, x must be greater than 1. At x = 5, the volume is 2(5)(4)(7) = 280; for x > 1, the volume increases as x increases, so x cannot be greater than 5. Thus the possible values are (1, 5], choice B, “(1, 5].”

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