Question

The weight limit of an elevator is 2,200 pounds. Michelle is solving an inequality to determine how many 40-pound boxes she can safely bring in the elevator with her if she weighs 110 pounds and has a 10-pound push cart. When the solution to the inequality is graphed on a number line, which statements best describe the graph? Check all that apply. There is a closed circle on 55. There is a closed circle on 52. The solution set contains the point 51. The arrow points to the right. The arrow points to the left.

Answer 1

Solving the inequality for the number of boxes Michelle can take into the elevator:

`2200 \geq 40 x + 120\\2080 \geq 40x\\x \leq 52`

so the solution set is x<=52 with a closed circle on 52.

The following are the applicable choices from your list (all at the same true):

"There is a closed circle on 52"

"The solution set contains the point 51"

"The arrow points to the left"

Answer 2

Answer: is B* C* E*

A. There is a closed circle on 55.

~ B. There is a closed circle on 52.

~ C .The solution set contains the point 51.

D. The arrow points to the right.

~ E. The arrow points to the left.

Explanation: