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(5) Simplify the following sets:
The letter "c" indicates that it refers to the complement.
[Exercise 36] (A ∩ B) ∩ (A ∩ Bc)
(A ∩ B) ∩ (A ∩Bc)
(B∩A) ∩ (A ∩ Bc)
B∩ (A ∩ A) ∩ Bc
(A ∩ A) ∩ B ∩ Bc
(A ∩ A) ∩ (B ∩ Bc)
A ∩ Ø
Ø
2. [Exercise 37]
(Ac ∩ B)c ∪ (B ∪ Ac)c ∪ A
3. [Exercise 38]
(A ∩ Bc) ∩ (Ac ∩ B)
(A ∩ Bc) ∩ (Ac ∩ B)
A ∩ (Bc ∩ B) ∩ Ac
(Bc ∩ B) ∩ A ∩ Ac
(Bc ∩ B) ∩ (A ∩ Ac)
Ø∩Ø
Ø
4. [Exercise 39]
(A ∪ A) - (A∩ B)
5. [Exercise 40] (A ∩ B) ∪ (Bc ∪ Ac)
[(A ∩ B) ∪ Bc] ∪ [(A∪ B) ∩ Ac]
(Bc ∪ B) ∪ (Bc ∪ A) ∪ (Ac ∩ B) ∪ (Ac ∩ A)
U ∪ (Bc ∪ A) ∪ (Ac ∩ B) ∪ Ø
U