Prove the following:
1. For all set A and B, A c A U B
2. For all sets A and B, A U B c A ∩ B
3. For all set A and B, A - B = A ∩ B
4. For all sets A and B, if A c B, then B c A
5. For all sets A, B, and C, A-(B U C) = (A - B) ∩ (A - C)
Prove the following:
1. For all set A and B, A c A U B
2. For all sets A and B, A U B c A ∩ B
3. For all set A and B, A - B = A ∩ B
4. For all sets A and B, if A c B, then B c A
5. For all sets A, B, and C, A-(B U C) = (A - B) ∩ (A - C)