Given:
Lucy ran 3 miles each day for x days.
So, for x day the total number miles will be,
[tex]3x[/tex]Aldo ran 6 miles each day for y days.
For y days the total miles are,
[tex]6y[/tex]The total number of miles that Lucy ran is greater than the total number of miles that Aldo ran.
The inequality is,
[tex]\begin{gathered} 3x>6y \\ \text{Simplify it} \\ x>2y \end{gathered}[/tex]Answer:
[tex]3x>6y\text{ or x>2y}[/tex]