Find the Power Set R={10,15}

Problem

𝒫*(R)* where *R={10,15}

Solution

1. Identify the elements of the set R The set contains two elements: 10 and 15

2. Determine the number of subsets using the formula 2 where n is the number of elements. Since n=2 there are 2=4 subsets.

3. List all possible subsets, including the empty set ∅ the sets containing one element (singletons), and the set itself.

4. Construct the power set 𝒫*(R) by grouping all identified subsets into a single set.

Final Answer

𝒫*(R)={∅,{10},{15},{10,15}}

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