Assume that P (A) = P (B). Show that A = B.
AnswerEvery set is a member of power set so that, A ∈ P(A)
Given that P (A) = P (B) So that
A ∈ P(B)
A is a element of power set of B so that,
A ⊂ B ... (1)
Similarly we can prove that
B ⊂ A ... (2)
From equation (1) and (2) we get, A = B
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guven, P(a)=P(b)
ReplyDeleteLet, (x,y) belongs to a
<=> (x,y) belongs to P(a)
<=> (x,y) belongs to P(b)
<=> (x,y) belongs to b
hence,
a is a subset of b and b is a subset of a
so we can say that a=b
PLEASE CAN ANYONE CHECK IF IT IS A RIGHT WAY
Correct.
DeleteYes it is a right way
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ReplyDeleteCorrect.
ReplyDelete