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Exercise 6 - Example(Page 1) 		Home
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Set difference: The difference of two sets A and B is given by A-B. A-B is the set of elements that belong to A but do not belong to B.


Example 1:
A = {2,4,6,8}, B = {2,3,4,5,6}.
Find A - B & B - A
A - B = {8}
B - A = {3,5}
A - A = { }
B - B = { }

Example 2:
A = {2,4,6,8,10}, B = {1,2,3,4,5,6}, C = {1,3,5,7,9}.
Find:
1) (A - B) C
A - B = {8,10}
(A - B) C = {1,3,5,7,8,9,10}

2) A - (B C)
(B C) = {1,2,3,4,5,6,7,9}
A - (B C) = {8,10}

3) B - (A C)
A C = {1,2,3,4,5,6,7,8,9,10}
B - (A C) = { }

4) (A B) - (B C)
(A B) = {1,2,3,4,5,6,8,10}
(B C) = {1,2,3,4,5,6,7,9}
(A B) - (B C) = {8,10}

5) (A - B) (A - C)
A - B = {8,10}
A - C = {2,4,6,8,10}
(A - B) (A - C) = {2,4,6,8,10}


Symmetric difference between any two sets A and B is given as:

A D B = (A - B) (B - A)


6) (A - B) (B - A)
A - B = {8,10}
B - A = {1,3,5}
(A - B) (B - A) = {1,3,5,8,10}



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