Union and Intersection of Sets

Union and Intersection of Sets

Lesson Objectives;

• ​Define union and intersection of sets.

• ​Shade the union and intersection of sets on a Venn diagram.

• ​Identify members in the union and intersection given any two/three sets.

​Union of sets

​Watch the video on the next slide about the union of sets, make some notes and respond to the quiz that follows.

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Multiple Choice

The union of set A and set B,  $$A\cup B$$ , is the set consists of 

• all the elements in set A and set B.

• the common elements in set A and set B.

• all the elements in set A but not in set B.

• all the elements in set B but not in set A.

Multiple Choice

The Venn diagram for  $$A\cup B$$  is represented in green as

Multiple Choice

The elements in P∪Q are

• {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10}

• {0, 1, 2, 3, 8, 9, 10}

• {4, 5, 6, 7}

• { }

Multiple Choice

Base on the Venn diagram given,  $$P\subset Q$$  . Hence,  $$P\cup Q$$  can be represents by

• P

• Q

• $$\phi$$  

• None of the above

Multiple Choice

The members of Set A ∪ B are

• {9, 15}

• {2, 5, 9, 15, 19}

• {8, 9, 10, 13, 15, 17}

• {2, 5, 8, 9, 10, 13, 15, 17, 19}

Multiple Choice

A = {1, 3, 5, 7, 9}

B = {2, 3, 5, 7}

What is A ∪ B ?

• {3, 5, 7}

• {2, 3, 5, 7, 9}

• {2, 3, 5, 7}

• {1, 2, 3, 5, 7, 9}

​Intersection of sets

​Watch the video on the next slide about the intersection of sets, make some notes and respond to the quiz that follows.

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​The End

Multiple Choice

Which of the following represent the shaded region?

• A subset of B

• A intersect B

• B subset of A

• A or B

Multiple Choice

Let C={2, 5, 7, 10} and B={x|x is an even whole number less than 9}. Find C ∩ B

• {2}

• {2, 4}

• {2, 10}

• {2, 5, 7}

Multiple Choice

Which of the following statements are true for the Venn diagram shown?

• A∩B=ξ

• A ⋂ B = A

• A ∩ B = ⊘

• A ⋂ B = B

Multiple Choice

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

• {3, 5, 7}

• {2, 3, 5, 7}

• {2, 3, 5, 7, 9}

• {1, 2, 3, 5, 7, 9}

Multiple Choice

It is an operation on sets that contains elements that are common to both sets.

• Complement of a Set

• Intersection of Sets

• Difference of Two Sets

• Union Sets

Multiple Choice

Let A={1, 3, 4} and B={x|x is an even whole number less than 9}. Find A ∩ B

• {1, 3, 4}

• {4}

• {1, 2, 3, 4, 6,8}

• {1, 2, 3, 6,8}

Multiple Choice

If A = {1, 2, 3, 4, 5, 6} and B = {1, 2, 3, 5, 7, 9} What is A ⋂ B?

• {1, 2, 3, 4, 5, 6, 7, 9}

• {4, 6, 7, 9}

• {1, 2, 3, 5}

• { }