Question

An aquarium has dimensions 2x feet, (x – 1) feet, and (x + 2) feet. The aquarium volume must be no more than 280 cubic feet.

Answer 1

Answer:

(1, 5]

Step-by-step explanation:

Answer 2

Answer:

$x^3+x^2-2x\leq140$

Step-by-step explanation:

This is an algebra problem, and we are expected to inequality for the volume of the aquarium.

Given that the

length= 2x

width=(x – 1)

heigth=  (x + 2)

and the volume= 280 ft^3

the inequality expression for the volume is

$2x*(x -1) * (x + 2) \leq 280$

open the brackets

$2x*(x -1) * (x + 2) \leq 280\\\\(2x^2-2x)*(x+2)\leq 280\\\\\2x^3+4x^2-2x^2-4x\leq 280\\\\\2x^3+2x^2-4x\leq280$

divide through by 2 we have

$x^3+x^2-2x\leq140$