Answer:
![t\leq 4\ teachers](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kajc8dim73nfmpcgn8v2hyz6kwbskyc975.png)
Explanation:
the question is
Which inequality describes the number of teachers, t, Noor could give the stickers to?
Let
t-------> the number of teachers
we know that
Noor gave 1/3 of a sheet to each of the 45 students at recess
so
the total number of sheets given to students equals to
![45*(1)/(3)=(45)/(3)=15\ sheets](https://img.qammunity.org/2020/formulas/mathematics/middle-school/sajo1jgt0fy66qn8252p9tr9xoazmuuwdj.png)
The remain sheets is equal to
![21-15=6\ sheets](https://img.qammunity.org/2020/formulas/mathematics/middle-school/19qe6usyknhmztksajtked19hxylvlwv8u.png)
To find the maximum number of teachers divide the remain sheets by
sheets
remember that
![1(1)/(2)=1.5](https://img.qammunity.org/2020/formulas/mathematics/middle-school/5cczc5d8ru13x931f7r296r92cmbzzm7at.png)
so
![6/1.5=4\ teachers](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ybavhc6r28m87okku9bpbgl6bk2ndnihrs.png)
therefore
the inequality is equal to
![t\leq 4\ teachers](https://img.qammunity.org/2020/formulas/mathematics/middle-school/kajc8dim73nfmpcgn8v2hyz6kwbskyc975.png)