Jose receives a $10 gift card for downloading music and wants to determine how many songs he can purchase. each downloaded song costs $1.19. write and solve an inequality to determine how many songs jose can purchase. what does the solved inequality represent?

One correct inequality is 
1.19x≤10, 

and the correct solution is
x≤8.

Explanation:
Let x be the number of songs Jose downloads.  Each song has a cost of $1.19; this would give the total amount spent as 1.19*x, or 1.19x.  

He has at most $10 to spend.  This means he can spend less than $10 or exactly $10; this gives us the inequality symbol ≤, which makes our complete inequality
1.19x ≤ 10.

To solve this, divide both sides by 1.19:
1.19x/1.19 ≤ 10/1.19
x ≤ 8.4.

Jose won't download a partial song, so we round this down to 8:
x≤8

The number of songs that can be downloaded is 8.

What do inequality signs mean?

> means greater than

< means less than

≥ means greater than or equal to

≤ less than or equal to

What inequality represents the the total songs he can purchase?

Gift card received ≥ (cost per song x number of songs)

$10 ≥ ($1.19 x s)

$10 ≥ $1.19s

s ≤ $10 / 1.19

s ≤ 8

To learn more about inequality, please check: link