Question

Which of the following is the power set of set A = { - 1, 0, 1 } ?

A
{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {-1, 0, 1}}
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B
{ {-1, 0}, {0, 1}, {-1, 1}, {ϕ}, {-1, 0, 1}}
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C
{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {ϕ}, {-1, 0, 1}}
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D
{{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {ϕ}}
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Solution

The correct option is B {{1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {ϕ}, {-1, 0, 1}}Power set of any set A, contains all the subsets of set A. Given the set A = {-1, 0, 1}. Subsets of the set are {1}, {0}, {1}, {-1, 0}, {0, 1}, {-1, 1}, {ϕ}, {-1, 0, 1} So, the set containing all these subsets as its elements will be the power set of A. i.e., P(A) = { {-1, 0}, {0, 1}, {-1, 1}, {ϕ}, {-1, 0, 1}}

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