No, the power set of {2, 3, 4, 5} is not a subset of the power set of {1, 2, 3, 4, 5, 6}.
Because the power set of {2, 3, 4, 5} has only elements which are subsets of {2, 3, 4, 5}, whereas the power set of {1, 2, 3, 4, 5, 6} has elements which are subsets of {1, 2, 3, 4, 5, 6}. Therefore, the power set of {2, 3, 4, 5} cannot be a subset of the power set of {1, 2, 3, 4, 5, 6}.
The power set of a set is the set of all subsets of that set. For example, the power set of {2, 3, 4, 5} is the set of all subsets of {2, 3, 4, 5}, which would include {2}, {3}, {4}, {5}, {2, 3}, {2, 4}, {2, 5}, {3, 4}, {3, 5}, {4, 5}, {2, 3, 4}, {2, 3, 5}, {2, 4, 5}, {3, 4, 5}, and {2, 3, 4, 5}. Similarly, the power set of {1, 2, 3, 4, 5, 6} would include all subsets of {1, 2, 3, 4, 5, 6}, such as {1}, {2}, {3}, {4}, {5}, {6}, {1, 2}, {1, 3}, and so on, which would not be included in the power set of {2, 3, 4, 5}.
Therefore, it is not possible for the power set of {2, 3, 4, 5} to be a subset of the power set of {1, 2, 3, 4, 5, 6}.
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