Question

Ashley and Liam both have playlist on their music apps.

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

What is the solution set for x, representing the number of playlist on Ashley's app?


A. x ≤ -9
B. x ≥ -9
C. x ≥ 9
D. X ≤ 9

Answer 1

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

According to the given information, the number of playlists on Liam's app is 4 times the number of playlists on Ashley's app. This can be represented as: 4X.

The total number of playlists on both their apps is at least 45. This can be represented as: X + 4X ≥ 45.

Combining like terms, we get: 5X ≥ 45.

To solve for X, we divide both sides of the inequality by 5: X ≥ 9.

Therefore, the solution set for X, representing the number of playlists on Ashley's app, is X ≥ 9.

So, the correct answer is C. X ≥ 9.