Question

Given A = {2, 0, 1, 3} and B = {0, 6, 2, 9}, what is A U B?
Select one:
a. A U B = { 2, 0, 1, 3, 0, 6, 2, 9}
b. A U B = { 2, 0}
c. A U B = { 2, 0, 1, 3, 6, 9}
d. A U B = {1, 3}​

Answer 1

Given :

Two sets A = {2, 0, 1, 3} and B = {0, 6, 2, 9}

To Find :

A ∪ B

Solution :

• A = {2, 0, 1, 3}

• B = {0, 6, 2, 9}

Union :

It is a set which consists of all the elements of A and B . The common elements are taken only once . The symbol which is used to denote union is ∪

Thus ,

A∪B = {2, 0, 1, 3, 6, 9}

Option c is Correct .

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• ⚘More Information:-

Set :

• A well defined collection of objects is known as Set .

Sets can be represented by :

Roster form Set - builder form

Intersection :

• It is a set of all the elements which are common to A and B .
• The symbol which is used to denote intersection is ∩ .
• For Example :

A = {2, 3, 1, 6} and B = {5, 6, 2, 9}

So , A ∩ B is {2,6} .

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