Sets operations using Venn diagram

If U = {1,2,3,4,...,12}, A = {2,3,4,5}, B = {4,5,6,8,9,11}, C = {6,7,8,9}, find: AUB = ?

• A. {2,3,4,5}

• B. {4,5,6,8,9,11}

• C. {2,3,4,5,6,8,9,11}

• D. {2,3,4,5,6,9,11}

U = {1,2,3,4,5, ..., 12}, A ={2,3,4,5}, B = {4,5,6,8,9,11}, C = {6,7,8,9}, find (AUBUC) = ?

• A. {2,3,4,5,6}

• B. {2,3,4,5,6,7,8,9,11}

• C. {2,3,4,5,6,8,9,11}

• D. {2,3,4,6,7,8,9,11}

If U = {2,3,4,5, ..., 12}, A = {2,3,4,5}, B = {4,5,6,8,9,11}, C ={6,7,8,9}, find: (AUB)' ?

• A. {6,7,8,9}

• B. {2,3,4,5}

• C. {7,10,12}

• D. {7}

If U = {2,3,4,5,...., 12}, A = {2,3,4,5}, B = {4,5,6,8,9,11}, C = {6,7,8,9}, find: 

 $A\cap B$  

• A. {4,5,6}

• B. {6,7}

• C. {6,7,8,9}

• D. {4,5}

If U ={2,3,4,5, ..., 12}, A = {2,3,4,5}, B = {4,5,6,8,9,11}, C = {6,7,8,9}, find:

 $A\cap B\cap C$  

• A. {   }

• B. {2,3,4,5,6,7,8,9}

• C. {6,7,8}

• D. {12}

If A = {4,6,8,10,12}, B = {8,10,12,14}, C = {12,14,16} and D = {16,18}, find:  $B-A$  

• A. {16,18}

• B. {14}

• C. {12,14,16}

• D. {4,6}

If A = {4,6,8,10,12}, B = {8,10,12,14}, C = {12,14,16 } and D = {16,18}, find  $A\ -C$  .

• A. {14,16}

• B. {4,6,8,10}

• C. {16,18}

• D. {12,14,16}

If  $n\left(A\right)$  =130,   $n\left(B\right)$  =80 and  $n\left(A\cup B\right)$  =150, then what is  $n\left(A\cap B\right)$  ?

• A. 30

• B. 90

• C. 110

• D. 60

If  $n\left(U\right)$  = 110,   $n\left(A\right)$  = 90,   $n\left(B\right)$  = 60,  then what is  $n\left(A\cap B\right)$  ?

• A. 150

• B. 50

• C. 40

• D. 110

Which set operations illustrates the Venn diagram?

•  $A\cap B$  

•  $A-B$  

•  $B-A$  

•  $A\cup B$