1) The Midwest, from which many of the main characters originate.
2) West Egg, a fictional city on Long Island, New York, where up-and-coming residents with new money reside.
3) East Egg, a fictional city also on Long Island, where the aristocratic wealthy of old money reside.
4) The Valley of Ashes, a third Long Island setting characterized as a bleak locale where the suburbs intersect with the city and where those less fortunate—the have-nots—live.
5) New York, where Nick Carraway works in the bond business and where Tom Buchanan rents an apartment in which he meets with his mistress, Myrtle Wilson.
Hope this helps! Have a blessed day!