[tex]a\geq 200\\\\5a + 2.50c\leq 1500[/tex]
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
Therefore,
[tex]a\geq 200[/tex]
Here, we used "greater than or equal to" symbol, since he needs atleast 200 adult t-shirts
Therefore,
[tex]5a + 2.50c\leq 1500[/tex]
Here we used, "less than or equal to" symbol, since he will not spend more than 1500
Thus the two inequalities are found