Given:
An elevator has a weight limit of less than 900 pounds.
A student weighing 95 pounds get on the elevator.
To find:
The inequality to represent the remaining weight, x, that can be added.
Solution:
Let x be the remaining weight that can be added.
A student weighing 95 pounds get on the elevator.
So, total weight on the elevator = [tex]x+95[/tex] pounds.
An elevator has a weight limit of less than 900 pounds. It means, total weight on elevator must be less than 900 pounds.
[tex]x+95<900[/tex]
Subtracting 95 from both sides.
[tex]x<900-95[/tex]
[tex]x<805[/tex]
It means, the remaining weight that can be added is less than 805 pounds.
Therefore, the required inequality is [tex]x<805[/tex].
