Answer:
[tex]x^3+x^2-2x\leq140[/tex]
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
[tex]2x*(x -1) * (x + 2) \leq 280\\\\[/tex]
open the brackets
[tex]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[/tex]
divide through by 2 we have
[tex]x^3+x^2-2x\leq140[/tex]
