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 Three-fourths e less-than 24, where e represents the total number of employees. Which graph shows the solution to the inequality?
A number line going from 16 to 20. An open circle is at 18. Everything to the right of the circle is shaded.
A number line going from 16 to 20. An open circle is at 18. Everything to the left of the circle is shaded.
A number line going from 30 to 34. An open circle is at 32. Everything to the right of the circle is shaded.
A number line going from 30 to 34. An open circle is at 32. Everything to the left of the circle is shaded.

Answer 1

Solve (3/4)e < 24. Multiply both sides by 4/3: e < 24·(4/3) = 32.

So the graph should have an open circle at 32 and shading to the left. That is the fourth option.