Let's start by defining the variables:
s = number of sticker packs purchased
x = ending balance in Lisa's bank account
We know that Lisa started with $5 and each pack of stickers costs $2. Therefore, her bank account balance after purchasing s packs of stickers is:
x = 5 - 2s
We also know that her account ended with a balance of -$10. Therefore, we can set up the following inequality:
x = 5 - 2s ≤ -10
Simplifying this inequality:
5 - 2s ≤ -10
-2s ≤ -15
s ≥ 7.5
However, since s represents the number of sticker packs, it must be a whole number. Therefore, the final inequality is:
s ≥ 8
This means that Lisa must have purchased at least 8 packs of stickers in order for her account to end with a balance of -$10.