Like that of Hebron the history of Jerusalem goes back to Abraham true or false

That is false.

Explanation:

Hebron is much older than Jerusalem. The Torah cites Hebron as the place where patriarch Abraham arrived when he made it to Canaan, some 18 centuries BCE. King David was anointed here. There are other major events and characters associated with Hebron. Jerusalem was conquered by king David around 1000 BCE, though its role is more important for Jews - and Christians and Muslims - today.