An elevator can carry 900 pounds of weight. A person weighing 116 pounds gets on the elevator. Write and solve an inequality to represent the remaining weight that can be added.

Respuesta :

The inequality is 95+x [tex] \leqslant [/tex]800 because we start off with 95 pounds and then add on x more (x is some positive number). The expression 95+x is the total weight. We want this total weight to be less than or equal to 800. In other words, 800 is the highest we can go. Or put another way, we can have 800 or smaller.

To solve that inequality, subtract 95 from both sides and you end up with this inequality x[tex] \leqslant [/tex]750 meaning that we can add up to 705 pounds of extra people or things to this elevator.