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

Answer:

4.A number line going from 30 to 34. An open circle is at 32. Everything to the left of the circle is shaded.

Explanation:

It is given that the three-fourths of the employees at a bookstore came to a staff meeting. Less than 24 employees were at the meeting.

Let the total number employees be e.

Three fourth of the total employees is e, the total number of employees at the meeting were less than 24.

e < 24

Multiply 4 both sides.

ex 4 < 24×4

3e < 96

Divide both sides by 3.

e < 32

Therefore the value of e is less than 32.

In a number line as we approach towards left the the value of integers decreases.

Since the value of e is less than 32, therefore the solution graph is from negative infinity to 32.

Since 32 is not included in the solution set, therefore there is an open circle on 32.