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Indicate whether each of the following statements is true or false: 1. If X is compact and Hausdorff and connected, then X + is connected. 2. If X is not Hausdorff, then X + is Hausdorff. Q is a dense subset of IR when IR is given the standard topology. Q is a dense subset of R when R is given the discrete topology. .01er Q, given the subspace topology inherited from R with the standard topology, is connected. 6. Q, given the subspace topology inherited from R with the standard topology, is pathconnected