Given A = {0,1,2,3,4,5},B={0,2,4,6,8}and C={0,3,6,9}. Show that (i) A�

1.	Given A = {0,1,2,3,4,5},B={0,2,4,6,8}and C={0,3,6,9}. Show that (i) A∪(B∪C)=(A∪B)∪C i.e. the union of sets is associative. (ii)A∩(B∩C)=(A∩B)∩C i.e. the intersection of sets is associative.
Answer» Given A = ${0, 1, 2, 3, 4, 5}, B = {0, 2, 4, 6, 8} a n d C = {0, 3, 6, 9}$ . Show that (i) $A \cup (B \cup C) = (A \cup B) \cup C$ i.e. the union of sets is associative. (ii) $A \cap (B \cap C) = (A \cap B) \cap C$ i.e. the intersection of sets is associative.

Given A = {0,1,2,3,4,5},B={0,2,4,6,8}and C={0,3,6,9}. Show that (i) A∪(B∪C)=(A∪B)∪C i.e. the union of sets is associative. (ii)A∩(B∩C)=(A∩B)∩C i.e. the intersection of sets is associative.

Answer»

Given A = ${0, 1, 2, 3, 4, 5}, B = {0, 2, 4, 6, 8} a n d C = {0, 3, 6, 9}$ . Show that

(i) $A \cup (B \cup C) = (A \cup B) \cup C$ i.e. the union of sets is associative.

(ii) $A \cap (B \cap C) = (A \cap B) \cap C$ i.e. the intersection of sets is associative.