Question

slave laws in the carolinas in the early 1700s were established in order to
require that required slave owners treat enslaved workers well.
ensure that no one would challenge their new economic system.
place strict limits on slavery in the colonies.
require slave owners to free all enslaved workers after a set number of years.

Explanation:

In the early 1700s in the Carolinas, slave - laws were not about treating slaves well, freeing them, or limiting slavery. They were mainly to protect the economic system based on slave - labor and prevent challenges to it.

Answer:

ensure that no one would challenge their new economic system.