6. Symmetric Difference Maison The symmetric difference of A and B, denoted by AB, is the set containing those elements in either A or B, but not in both A and B. (a) Find the symmetric difference of (1,3,5) and (1,2,3). (b) Draw a Venn diagram for the symmetric difference of the sets A and B. (c) Show that AB=(AUB)-(An B)=(A-B)U(B-A). (d) What can you say about the sets A and B if AB=A?

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6.
Symmetric Difference
Masu
The symmetric difference of A and B, denoted by AB, is the set containing those elements in either A or
B, but not in both A and B.
(a) Find the symmetric difference of (1,3,5) and (1,2,3).
(b) Draw a Venn diagram for the symmetric difference of the sets A and B.
(c) Show that AB=(AUB)-(An B)=(A-B)U(B-A).
(d) What can you say about the sets A and B if AB=A?
Transcribed Image Text:6. Symmetric Difference Masu The symmetric difference of A and B, denoted by AB, is the set containing those elements in either A or B, but not in both A and B. (a) Find the symmetric difference of (1,3,5) and (1,2,3). (b) Draw a Venn diagram for the symmetric difference of the sets A and B. (c) Show that AB=(AUB)-(An B)=(A-B)U(B-A). (d) What can you say about the sets A and B if AB=A?
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