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Exercise 10 - Example(Page 1) 		Home
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Venn Diagrams; The relation between the sets can be shown by means of Venn Diagrams


1. Universal set:


2. Set A:


3. A B:


4. A B C:


5. Disjoint Sets A and B:


6. Let A = { 1, 2, 3, 4} B = (2, 4, 6, 8}
A B = {1,2,3,4,6,8}:
A B




7. Let A = { 1, 2, 3, 4} B = (2, 4, 6, 8}
A B = {2,4}
A B




8. Let U = {1,2,3,4,5,6,7,8} A = { 1, 2, 3, 4} B = {2,4,6,8}
B' = {1,3,5,7}

A B = {1,2,3,4,6,8}
(A B)' = {5,7}

A B = {2,4}
(A B)' = {1,3,5,6,7,8}



9. Let A = { 1, 2, 3, 4} B = (2, 4, 6, 8}
A - B = {1,3}

B - A = {6,8}


10. Let U = {1,2,3,4,5,6,7,8} A = { 1, 2, 3, 4} B = {2,4,6,8}
A' = {5,6,7,8}
A' B = {2,4,5,6,7,8}


11. Let U = {1,2,3,4,5,6,7,8} A = { 1, 2, 3, 4} B = {2,4,6,8}
A' = {5,6,7,8}
A' B = {6,8}


12. A = { 1, 2, 3, 4} B = {2,4,6,8}
A - B = {1,3}
B - A = {6,8}
A D B = (A - B) (B - A) = {1,3,6,8}




13. Let U = {1,2,3,4,5,6,7,8} A = { 1, 2, 3, 4} B = {2,4,6,8}
A' = {5,6,7,8}
B' = {1,3,5,7}
A' B' = {1,3,5,6,7,8}


14. Let U = {1,2,3,4,5,6,7,8} A = { 1, 2, 3, 4} B = {2,4,6,8}
A' = {5,6,7,8}
B' = {1,3,5,7}
A' B' = {5,7}


15. Let A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}


16. Let A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
A B C = {1,2,3,4,5,6,7,8}


17. Let A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
A B C = {2}


18. Find A - (B C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(B C) = {2,3,4,5,6,7,8}}
A - (B C) = {1}


19. Find (A - B) C
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(A - B) = {1, 3}
(A - B) C = (1,2,3,5,7,8}




20. Find A - (B C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(B C) = {2,8}
A - (B C) = {1, 3, 4}


21. Find (A - B) C
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(A - B) = {1, 3}
(A - B) C = (3}


22. Find (A B) (A C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(A B) = {1,2,3,4,6,8}
(A C) = {1,2,3,4,5,7,8}
(A B) (A C)= {1,2,3,4,8}


23. Find (A B) (A C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(A B) = {2,4}
(A C) = {2,3}
(A B) (A C)= {2,3,4}


24. Find A (B C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(B C) = {2,8}
A (B C)= {1,2,3,4,8}


25. Find A (B C)
A = { 1, 2, 3, 4} B = {2,4,6,8}, C = {2,3,5,7,8}
(B C) = {2,3,4,5,6,7,8}
A (B C) = {2,3,4}




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