Sets, Venn Diagrams, and Overlap
GRE · Flashcards · Recall
GRE · FLASHCARDS
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QUESTION
State the formula for the size of a union:
∣
A
∪
B
∣
|A\cup B|
∣
A
∪
B
∣
in terms of
∣
A
∣
,
∣
B
∣
,
∣
A
∩
B
∣
|A|,|B|,|A\cap B|
∣
A
∣
,
∣
B
∣
,
∣
A
∩
B
∣
.
QUESTION
What is the definition of the symmetric difference
A
△
B
A\triangle B
A
△
B
?
QUESTION
What is the relationship between
A
∖
B
A\setminus B
A
∖
B
and
A
∩
B
c
A\cap B^c
A
∩
B
c
?
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ANSWER
A
∖
B
=
A
∩
B
c
A\setminus B=A\cap B^c
A
∖
B
=
A
∩
B
c
. Expresses set difference as the intersection of A with the complement of B.
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