Julia has $80. she wants to purchase a nail paint set for $16 ans earrings. she spends the rest of the money on earrings. each pair of earrings cost $8. write an inequality for the number of pairs of earrings she can purchase?

So, after the nail set is bought, she will have 80-16 left, that is 64. If each pair of earrings costs 8 dollars, then she can buy 64/8 =8: She can buy 8 pairs of earrings.

I don't see how you can make an "inequality" with this.

If the question is interpreted that she doesn't spend all her money, then we could say, if we must that if y=number of earrings she can buy then

y≤8

Julies has 80 dollars
=> She wants to purchase $16 nail paint set
and spent the rest of her money on earrings which costs 8 dollars.
Write and inequality:
Let E be the number of earing she bought.
=> 16 + 8E = 80
=>  8E = 80 – 16
=> 8E = 64
=> 8E / 8 = 64 / 8
=> E = 8
Let’s check our answer
=> 16 + 8(8) > 80
=> 16 + 68 > 80
=> 80 > 80