We have to find how many days (lets call it this x) to complete more than 32 cake orders.
She can make 8 cakes per day, so we can can express the number of cakes she can make as 8*x.
Then, we can write the inequality as "the number of cakes she makes (8*x) is more than 32":
[tex]8x>32[/tex]We can divide both sides by 8 and get:
[tex]\begin{gathered} \frac{8x}{8}>\frac{32}{8} \\ x>4 \end{gathered}[/tex]Then, we know that to complete more than 32 cakes she needs more than 4 days.
We can graph this as:
Answer: the inequality is 8x > 32, that can be simplified to x > 4.
