If A = {1, 2, 3, 4}
B = {3, 4,5, 6, 7}
C = {6, 7, 8, 9}
D = {7, 8, 9, 10}
ColumnAColumnB1.A∪B A. {3,4,6,7} 2.A∩B B. ∅ 3.(B∩C)∪D C. {3,4} 4. B∪C∪D D. {3,4,5,6,7,8,9,10} 5. (A∩B)∩(B∪C) E. {1,2,3,4,5,6,7} F. {6,7,8,9,10} G. {7}
1 - e, 2 - c, 3 - f, 4 -d, 5-c
A = {1, 2, 3, 4}
B = {3, 4, 5, 6, 7}
C = {6, 7, 8, 9}
D = {7, 8, 9, 10}
1. A ∪ B = {1, 2, 3, 4, 5, 6, 7}
2. A ∩ B = {3, 4}
3. B ∩ C = {6, 7}
(B ∩ C) ∪ D = {6, 7} ∪ {7, 8, 9, 10} = {6, 7, 8, 9, 10}
4. B ∪ C ∪ D = (B ∪ C) ∪ D
B ∪ C = {3, 4, 5, 6, 7, 8, 9}
(B ∪ C) ∪ D = {3, 4, 5, 6, 7, 8, 9} ∪ {7, 8, 9, 10} = {3, 4, 5, 6, 7, 8, 9, 10}
5. (A ∩ B) ∩ (B ∪ C) = {3, 4} ∩ {3, 4, 5, 6, 7, 8, 9}
= {3, 4}