Find the Power Set (-5,-4)

Problem

𝒫*({−5,−4})

Solution

1. Identify the elements of the given set. The set S={−5,−4} contains two distinct elements: −5 and −4

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 by including the empty set, sets with one element (singletons), and the set itself.

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

Final Answer

𝒫*({−5,−4})={∅,{−5},{−4},{−5,−4}}

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