is the power set
P(x) of x={S,{S}}
P(x)={ø, {S}, {{S}}, {S,{S}}}?
P(x) of x={S,{S}}
P(x)={ø, {S}, {{S}}, {S,{S}}}?
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Yes.
The power set is the set of all subsets of the original set.
The set x has 2 elements, so the power set should have 2^2 = 4 elements.
{S,{S}} is the set x and is a subset of itself (and thus should be in P(x))
{S} and { {S} } are both subsets of x
The null set is the subset of any set.
Those are the 4 subsets of x to include in P(x) and so
Answer: P(x)={ø, {S}, {{S}}, {S,{S}}} is the power set of x.
The power set is the set of all subsets of the original set.
The set x has 2 elements, so the power set should have 2^2 = 4 elements.
{S,{S}} is the set x and is a subset of itself (and thus should be in P(x))
{S} and { {S} } are both subsets of x
The null set is the subset of any set.
Those are the 4 subsets of x to include in P(x) and so
Answer: P(x)={ø, {S}, {{S}}, {S,{S}}} is the power set of x.