Find the Power Set (0,5)

Problem

𝒫*({0,5})

Solution

1. Identify the elements of the given set. The set contains two distinct elements: 0 and 5

2. Determine the number of subsets. For a set with n elements, the power set contains 2 subsets. Since n=2 there are 2=4 subsets.

3. List all possible subsets. This includes the empty set, sets containing each individual element (singletons), and the set itself.

4. Construct the power set by grouping all identified subsets into a single set.

Final Answer

𝒫*({0,5})={∅,{0},{5},{0,5}}

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