Question

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 $\frac{3}{4}e<24$, where e represents the total number of employees. which graph shows the solution to the inequality?

Explanation:

Step1: Solve the inequality

Given the inequality \(\frac{3}{4}e < 24\). Multiply both sides by \(\frac{4}{3}\) to isolate \(e\).
\(e<24\times\frac{4}{3}\)
\(e < 32\)

Step2: Analyze the graph

The solution \(e < 32\) means that on the number - line, there is an open circle at \(32\) (because \(e\) is not equal to \(32\)) and the arrow points to the left (towards smaller numbers).

Answer:

The fourth graph (the one with an open circle at \(32\) and the arrow pointing to the left)