Symmetry Difference of Sets

Symmetry difference of sets

Let A and B be two sets. The symmetry difference of sets A and B is the set (A-B) ∪ (B-A)  and it is denoted by A ∆ B.
Then A∆B=(A-B) ∪ (B-A) = {x : x ∉ A ∩ B}.
In Fig 9 shaded region represents A∆B
Symmetry difference of sets
Fig (9)
Example
If A={ 1, 2, 3, 4, 5, 6, 7, 8} and B={ 1, 3, 5, 6, 7, 8, 9}
Then A-B={ 2, 4}  and B-A={ 9}
A∆B={ 2, 4, 9}.

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