Question

22. If P(A) = P(B) then prove that A=B.​

Answer 1

Step-by-step explanation:

In order to prove A = B, we should prove

A is a subset of B i.e. A CB

& B is a subset of A i.e. B CA

C Subset ACB (All elements of set A in set B)

Set A is an element of power set of A as every set is a subset

(Eg: for set A = (0, 1), P(A) = {0, {0}, {1}, {0, 1}} So, A is in P(A))

i.e. A E P(A)

⇒ AE P(B)

(Since P(A) = P(B))

If set A is in power set of B, set A is a subset of B

ACB

Answer 2

Answer:

yes

Step-by-step explanation:

If p(a) =p(b)

then

pa=pb

in canceling p

it leave

a=b

proved