Find the symmetric difference between the following sets.
P = {a,b,c,d} and S = {b,d,e,g}
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Find the symmetric difference between the following sets.
P = {a,b,c,d} and S = {b,d,e,g}
Answered by
1
Answer:
△ B = (A – B) ∪ (B – A)
Let A and B are two sets. The symmetric difference of two sets A and B is the set (A – B) ∪ (B – A) and is denoted by A △ B.
Thus, A △ B = (A – B) ∪ (B – A) = {x : x ∉ A ∩ B}
or, A △ B = {x : [x ∈ A and x ∉ B] or [x ∈ B and x ∉ A
The shaded part of the given Venn diagram represents A △ B.
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