Abstract: A flexible bag such as a trash bag is disclosed. The bag includes a flexible bag body having an open end with inflatable means located at the open end of the bag for maintaining the open end of the bag in an open position so that matter can be easily deposited into the bag through the bag's open end. In a preferred embodiment, the inflatable means includes a chamber-defining, inflatable rim which extends substantially around the open end of the bag body. An inflating means such as a valve or sealable stem-like member is also provided in communication with the chamber of the inflatable rim for receiving air to inflate the inflatable rim. The inflatable rim, when inflated, significantly enhances the ease with which matter may be deposited into the bag by defining an opening for receiving such matter.