algebra conjuntoswm
TRANSCRIPT
A ∩(B U C) = (A ∩ B) U (A ∩ C)
7 9
0
1 3
5
6 8
(B U C)
2 4
A ∩(B U C)
7 9
0
1 3
5
6 8
(A ∩ C)
(A ∩ B)
2 4
(A ∩ B) U (A ∩ C)
A B
C C
A B
A U (B ∩ C) = (A U B) ∩ (A U C)
7 9
0
1 3
5
6 82 4
7 9
0
1 3
5
6 82 4
(B ∩ C)
A U (B ∩ C)
(A U B)
(A U C)
(A U B) ∩ (A U C)
A B
C
A B
C
C \ (A ∩ B) = (C \ A) U (C \ B)
7 9
0
1 3
5
6 82 4
(A ∩ B)
C \ (A ∩ B)
7 9
0
1 3
5
6 82 4
(C \ A)
(C \ B)
(C \ A) U (C \ B)
A B
C
A B
C
C \ (A U B) = (C \ A) ∩ (C \ B)
7 9
0
1 3
5
6 82 4
(A U B)
C \ (A U B)
7 9
0
1 3
5
6 82 4
(C \ A)
(C \ B)
(C \ A) ∩(C \ B)
A B
C
A B
C
C \ (B \ A) = (A ∩ C) U (C \ B)
7 9
0
1 3
5
6 82 4
(B \ A)
C \ (B \ A)
7 9
0
1 3
5
6 82 4
(A ∩ C)
(C \ B)
(A ∩ C) U (C \ B)
A B
C
A B
C
(B \ A) ∩ C = (B ∩ C)\ A U = B ∩ (C \ A)
7 9 0
1 3
5
6 82 4
(B \ A)
(B \ A) ∩ C
7 9
0
1 3
5
6 82 4
7 9
0
1 3
5
6 82 4
A B
C
A B
C
A B
C
(B ∩ C)
(B ∩ C)\ A
(C \ A)
B ∩ (C \ A)
(B \ A) U C = (B U C)\ (A \ C)
7 9
0
1 3
5
6 82 4
(B \ A)
(B \ A) U C
7 9
0
1 3
5
6 82 4
(B U C)
(A \ C)
(B U C)\ (A \ C)
A B
C
A B
C