Question

The elevator at the state capital has a maximum weight capacity of 2000 pounds. If there are 3

people already on the elevator with a combined weight of 428 pounds, write an inequality to express

the possible weights that may be added to the elevator,

Part A: Define your variable

Part B: Write the inequality

Part C: Describe what your inequality looks like on a number line. Be sure to include whether the

circle is open or closed and the direction the line is shaded.

Answer 1

Explanation:

Maximum capacity of the elevator = 2000 pounds

Combined weight of the elevator = 428 pounds

A). Let the possible weights that can be added to the elevator = w pounds

B). Therefore, inequality representing this situation will be,

428 + w < 2000

C). By solving the given inequality,

(428 + w) - 428 < 2000 - 428

w < 1572 pounds

Now we draw this inequality on a number line.