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In this paper, we use the inverse mean curvature flow to establish an optimalMinkowski type inquality, weighted Alexandrov-Fenchel inequality for the meanconvex star shaped hypersurfaces in Reissner-Nordstr\"om-anti-deSitter manifoldand Penrose type inequality for asymptotically locally hyperbolic manifolds inwhich can be realized as graphs over Reissner-Nordstr\"om-anti-deSittermanifold.

A Penrose type inequaltiy for graphs over Reissner-Nordstr\"om-anti-deSitter manifold