Sets, Venn Diagrams, and Overlap
GRE · Flashcards · Application
GRE · FLASHCARDS
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QUESTION
Find
∣
B
∖
A
∣
|B\setminus A|
∣
B
∖
A
∣
if
∣
B
∣
=
19
|B|=19
∣
B
∣
=
19
and
∣
A
∩
B
∣
=
6
|A\cap B|=6
∣
A
∩
B
∣
=
6
.
QUESTION
Find
∣
A
△
B
∣
|A\triangle B|
∣
A
△
B
∣
if
∣
A
∣
=
14
|A|=14
∣
A
∣
=
14
,
∣
B
∣
=
11
|B|=11
∣
B
∣
=
11
, and
∣
A
∩
B
∣
=
5
|A\cap B|=5
∣
A
∩
B
∣
=
5
.
QUESTION
Find
∣
A
∪
B
∣
|A\cup B|
∣
A
∪
B
∣
if
∣
U
∣
=
50
|U|=50
∣
U
∣
=
50
and
∣
(
A
∪
B
)
c
∣
=
12
|(A\cup B)^c|=12
∣
(
A
∪
B
)
c
∣
=
12
.
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ANSWER
38
38
38
. Determines union size by subtracting the complement from the universal set:
50
−
12
=
38
50 - 12 = 38
50
−
12
=
38
.
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