At most 24 is the key phrase for writing the inequality.
Inequality: 1236≤ p ≤ 1 Solution: 13≤ p ≤ 1 Graph:
Practice makes perfect
The key phrase for writing the inequality is that at most 24 of the 36 employees are full time.
Number of full time employees ≤ 24
Let x be the number of part time employees. We can find the number of full time employees by subtracting x from 36.
36-x≤24Let's solve this inequality for x.
This means that at least 12 employees are part time. Knowing that there are 36 employees in total, we can write this number as a portion p.
p≥12/36
Let's simplify this inequality!
We found that at least 13 of the employees are part time. Also, since there cannot be more part time employees than all employees, p cannot be greater than 1. Thus, p is at most 1.
p≤ 1
We can write both of these inequalities together.
1/3≤ p ≤ 1
Finally, we can graph this solution set on a number line.
