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. What is the solution set for x, representing the number of playlists on Ashley’s app?
Let's assume that the number of playlists on Ashley's app is x.
The number of playlists on Liam's app can be represented as 4x.
The total number of playlists on both their apps is x + 4x = 5x.
According to the problem, 5x is at least 45.
So, 5x ≥ 45.
Dividing both sides of the inequality by 5, we get x ≥ 9.
Thus, the solution set for x is x ≥ 9 or {x | x ≥ 9}.