Find the Power Set (-15,-1)

Problem

𝒫*({−15,−1})

Solution

1. Identify the elements of the given set. The set S={−15,−1} contains two distinct elements: −15 and −1

2. Determine the number of subsets. For a set with n elements, the power set contains 2^n subsets. Since n=2 there are 2^2=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*({−15,−1})={∅,{−15},{−1},{−15,−1}}

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