In: Advanced Math
Decide, with justification, if the following set properties are true for any sets A, B, and C.
1. A∪(B∩C)⊆A.
2. A∪(B∩C)⊆B.
3. A ∩ B ⊆ A
4. B ⊆ A ∪ B
5. A ⊆ B ⇒ A ∪ B ⊆ B.
6. A ∪ B ⊆ B ⇒ A ⊆ B.
7. A⊆B⇒A∩B=A.
8. A ∩ B = A ⇒ A ⊆ B
9. A∩(B∪C)⊆A∪(B∩C)
10. A∪(B∩C)⊆A∩(B∪C)
11. A\(B∩C)=(A\B)∪(A\C)