The Greenville Health System Board of Trustees met Tuesday morning and approved a resolution to explore changes to the way the health system is operated. Jim Morton, board chairman, said instead of being operated as a public, government not-for-profit, the system would be run by a private nonprofit organization. … Under the proposed change, trustees said the private “super board” would control all operations. The board has yet to work out the specifics, but Baker said all previous meetings on the issue suggested the new board members would be “self-perpetuating” or self-appointed. Under the current system, the trustees must be approved by the Greenville County Legislative Delegation.