1all in basic books!(RD sharma)
1. Please tell me the difference between subset and a proper-subset.
2. And that between the powerset and proper-power set
3. What does P(A) denote?
4. Prove that, (A U B)' = (A' ∩ B')
Thanks in advance !!
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3 Answers
11) Suppose there is a set A and another set B.
The set "A" is called as a subset of set "B" if all the elements of A
are also the elements of B.
If A is a subset of B, but A is not equal to B (i.e. there exists at least one element of B not contained in A), then
A is also a proper subset of B.
2) The SET of all subsets of a set is the POWER SET.
Suppose, A={1,2,}
Then, P(A) = { null,{1},{2},{1,2}}
NOTE : Universal set is not the SET of all subsets.
It is the just the listing of elements in a single set,whereas
in power set each element is considered as a SET.
3) P(A) denotes power set.
4) The traditional method or what?
