Abstract: A packer and a method of setting a packer is disclosed that combines features of both compression-set packing elements and inflatable packing elements. The packing element of the packer includes elongated strips of reinforcing material that are bent away from the packer mandrel, when the packer is set, to move an annular body of elastomeric material into sealing engagement with an adjacent surface. Upstream pressure is supplied to the space between the mandrel and the packing element to help hold the packing element in such sealing engagement.