Question

For any sets A and B, show that P(A intersection B) = P(A) intersection P(B)​

Answer 1

Hope it is helpful to you

Answer 2

Answer:

let P(A∩B),P(A),P(B)are the power sets of the set A∩B,A,B respectively

let c is a set where C∈P(A∩B)

elements of C∈(A∩B)

so, C∈A

C∈B

so, C∈P(A)&C∈P(B)

C∈[P(A)∩P(B)] = LHS

hence proved

Step-by-step explanation: