carlotta subscribes to the HotBurn music services. she can download no more than 11 song files per week. Carlotta has already downloaded 8 song files this week. write, solve, and graph an inequality to show how many songs charlotta can download.

a)s>3
b)s¡Ý3
c)s¡Ü3
d)s<3

To write, solve, and graph the inequality to represent the number of songs Carlotta can download, we need to consider the given information.

Let's denote the number of songs Carlotta can download as "s."

We know that Carlotta can download no more than 11 song files per week. This means s must be less than or equal to 11.

On top of that, Carlotta has already downloaded 8 song files this week. So, we need to subtract the number of songs she has already downloaded from the maximum number of songs she can download. That gives us:

s ≤ 11 - 8

Simplifying the equation, we get:

s ≤ 3

Now, let's look at the options given:

a) s > 3: This does not match our inequality because Carlotta can download up to 3 songs, not more.

b) s ≥ 3: This does not match our inequality either because Carlotta can download up to 3 songs, but not more.

c) s ≤ 3: This matches our inequality, as Carlotta can download up to 3 songs.

d) s < 3: This does not match our inequality because Carlotta can download exactly 3 songs, not less.

Therefore, the correct answer is option c) s ≤ 3.