Final answer:
Hosea 4:16 itself doesn't name specific places to avoid; it symbolizes Israel's disobedience. Instead, it is the general context of the Old Testament which discusses the consequences of Israel's unfaithfulness, including their idolatry on the high places.
Step-by-step explanation:
The passage Hosea 4:16 does not specifically mention places that Israel should not come up to. Instead, the verses surrounding the context of the book of Hosea often speak to the waywardness and unfaithfulness of Israel in a metaphorical sense, comparing them to a stubborn heifer or an unfaithful spouse. The book issues warnings about the consequences of Israel's disobedience, such as invasion, war, and captivity.
Many verses throughout the Old Testament address the forthcoming judgment due to their transgressions and the idolatry they practiced on the high places, which is often associated with unfaithfulness to God. These references serve as a call to repentance and abandonment of idolatry and unjust practices.