Let H be the number hats and J the number of jackets. Then, we can write,
[tex]5H+8J\le1500[/tex]Now, since they want 250 items at least, we can write
[tex]H+J\le250[/tex]Hence, the system of inequalities is
[tex]\begin{gathered} 5H+8J\le1500 \\ H+J\le250 \end{gathered}[/tex]