Answer:
Explanation:
Given: A= {0, 2, 4, 6, 8}, B={0, 1, 2, 3, 4} and C= {0, 3, 6, 9)
To Find: (a) A ∪ B ∪ C and (b) A ∩ B ∩ C
We know, A Set is a well defined collection of objects or elements.
To find union of A, B and C, we enlist all the elements that are present in A, B and C without any repetition.
⇒A= {0, 2, 4, 6, 8}
⇒B={0, 1, 2, 3, 4}
⇒C= {0, 3, 6, 9)
⇒Hence, A ∪ B ∪ C = {0, 1, 2, 3, 4, 6, 8, 9}
To find the intersection of A, B and C, we enlist all the elements that are common to A, B and C without any repetition.
⇒A= {0, 2, 4, 6, 8}
⇒B={0, 1, 2, 3, 4}
⇒C= {0, 3, 6, 9)
⇒Hence, A ∩ B ∩ C = {0}
Therefore, The values of (a) A ∪ B ∪ C = {0, 1, 2, 3, 4, 6, 8, 9} and
(b) A ∩ B ∩ C = {0}.