Determine whether the given statement is true or false. Write T for true and F for false.

 1. ${\mathcal P}(A) \cap {\mathcal P}(B)\subseteq {\mathcal P}(A\cap B)$
 2. ${\mathcal P}(A\setminus B)\subseteq ( {\mathcal P}(A) \setminus {\mathcal P}(B) ) \cup \{\emptyset\}$
 3. ${\mathcal P}(A\setminus B)\subseteq {\mathcal P}(A) \setminus {\mathcal P}(B)$