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? Select three options.
Answer
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
Let x be the number of 40-pound boxes. The weight limit gives 110 + 10 + 40x ≤ 2,200, so 40x ≤ 2,080 and x ≤ 52. The graph has a closed circle at 52 because 52 is included, and the arrow points left because values less than 52 are solutions. Since 51 is less than 52, the solution set contains 51.
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