Ashley and Liam both have playlists on their music apps.

The number of playlists on Ashley’s app can be represented by X.
The number of playlists on Liam’s app is 4 times the number of playlists on Ashley’s app.
The total number of playlists on both their apps is at least 45.

Let's assume the number of playlists on Ashley's app is X.

The number of playlists on Liam's app is 4 times the number of playlists on Ashley's app, so it's 4X.

The total number of playlists on both apps is at least 45, so we have the inequality:
X + 4X ≥ 45

Combining like terms, we get:
5X ≥ 45

Dividing both sides by 5, we have:
X ≥ 9

Therefore, the number of playlists on Ashley's app (X) must be at least 9.