Three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting. The inequality representing this scenario is 3 fourths e is less than 24 , where e represents the total number of employees. Which graph shows the solution to the inequality?
Answer
A
Image with description A number line ranges from 16 to 20 by ones. An open circle is on 18. A ray is drawn from that circle pointing to the right.
B
Image with description A number line ranges from 30 to 34 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the left.
C
Image with description A number line ranges from 30 to 34 by ones. An open circle is on 32. A ray is drawn from that circle pointing to the right.
D
Image with description A number line ranges from 16 to 20 by ones. An open circle is on 18. A ray is drawn from that circle pointing to the left.
Explanation
Solve (3/4)e < 24 by multiplying both sides by 4/3, which is positive, so the inequality direction stays the same. This gives e < 32. The graph needs an open circle at 32 and a ray pointing left, shown in choice B.
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