Which of the following sets represents A∪B∪C∪D? A: {2, 5, 8}, B: {4, 7}, C: {3, 4, 6, 7, 9}, D: {3, 6, 9}

a) A∪B∪C∪D = {2, 3, 4, 5, 6, 7, 8, 9}    b) A∪B∪C∪D = {5, 6, 7, 8, 9}     c) A∪B∪C∪D = {2, 3, 4, 5, 6}

Solution:

We will use the concept of the union of sets to find A ∪ B.

A∪B or Union of sets basically means the collection of all elements of A and B. But if any element is common in both A and B, then it will be counted once only in the union of the set.

Hence, from the above definition of the union of sets A∪B∪C∪D= {2, 3, 4, 5, 6, 7, 8, 9}

Which of the following sets represents A∪B∪C∪D? A: {2, 5, 8}, B: {4, 7}, C: {3, 4, 6, 7, 9}, D: {3, 6, 9}

Summary:

A∪B∪C∪D = {2, 3, 4, 5, 6, 7, 8, 9}