To represent the situation mathematically, we know:
- The number of playlists on Ashley's app is \( a \).
- The number of playlists on Liam's app is \( 4a \) (since it is 4 times the number of playlists on Ashley's app).
- The total number of playlists on both apps is \( a + 4a = 5a \).
- We also know that this total is at least 45, which translates to the inequality \( 5a \geq 45 \).
So the correct inequality to determine the number of playlists in Ashley's app is:
5a ≥ 45.