Subset homework problem

[bonfire09]

Homework Statement

The problem wants me to give an example of two sets that satisfy this condition

A∩P(A)ε B

Homework Equations

None

The Attempt at a Solution

For my example I used this example
A={1,2}
P(A)={∅,{1},{2},{1,2}}
A∩P(A)=∅
B={∅}
∅ε B

Therefore A∩P(A)ε B
is this a correct example?

 

[bonfire09]

im allowed to make up a set for set B. But considering that A∩P(A)=∅ then I thought that the empty set has to be an element in set B.

 

[micromass]

It seems to be correct.