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? (1 point) Responses x≤−9 x is less than or equal to negative 9 x≥−9 x is greater than or equal to negative 9 x≥9 x is greater than or equal to 9 x≤9 x is less than or equal to 9
Let's represent the number of playlists on Ashley's app as X.
The number of playlists on Liam's app is 4 times the number of playlists on Ashley's app, so that would be 4X.
The total number of playlists on both their apps is at least 45, so X + 4X ≥ 45.
Combining the like terms, we have 5X ≥ 45.
Now, let's solve for X.
Dividing both sides of the inequality by 5, we get X ≥ 9.
Therefore, the solution set for X, representing the number of playlists on Ashley's app, is x≥9.