<h3><u>The two inequalities are:</u></h3>
![a\geq 200\\\\5a + 2.50c\leq 1500](https://tex.z-dn.net/?f=a%5Cgeq%20200%5C%5C%5C%5C5a%20%2B%202.50c%5Cleq%201500)
<h3><u>Solution:</u></h3>
Let "a" be the number of adult sized t shirts
Let "c" be the number of child sized t shirts
Given that,
Each Adult sized t shirts = $ 5
Each child sized t shirts = $ 2.50
<h3><u>Jerome need at least 200 adults t-shirt</u></h3>
Therefore,
![a\geq 200](https://tex.z-dn.net/?f=a%5Cgeq%20200)
Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts
<h3><u>Jerome will spend no more than $1500 on t-shirt</u></h3>
Therefore,
![5a + 2.50c\leq 1500](https://tex.z-dn.net/?f=5a%20%2B%202.50c%5Cleq%201500)
Here we used, "less than or equal to" symbol, since he will not spend more than 1500
Thus the two inequalities are found