Question

. Let A= {0, 2, 4, 6, 8}, B={0,1,2,3, 4} and C= {0, 3, 6, 9), What are (a) A ∪ B ∪ C and (b) A ∩ B ∩ C

Answer 1

Answer:

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Step-by-step explanation:

a)A U B U C= {0,2,4,6,8,1,3,9}

b)A ∩ B ∩ C={0}

Answer 2

Step-by-step 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}.