Abstract: A straddle inflatable packer system includes upper and lower packer assemblies each having an inner elastomer sleeve surrounded by expansible armor members. For well treating operations, the upper packer includes an external elastomer sleeve which covers a lower portion of its armor members, and the lower packer has an external elastomer sleeve that covers an upper portion of its armor members, so that the external sleeves are located adjacent to the higher pressures of injected fluids. For well testing operations, the locations of the external packer sleeves are reversed so that again these sleeves are adjacent the higher well bore pressures during the test.