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Question
Mathematics
If U= 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 A = 2, 4, 7 B = 3, 5, 7, 9, 11 and C = 7, 8, 9, 10, 11 compute (A ∩ U) ∩ (B ∪ C).
Q. If
U
=
{
2
,
3
,
4
,
5
,
6
,
7
,
8
,
9
,
10
,
11
}
,
A
=
{
2
,
4
,
7
}
,
B
=
{
3
,
5
,
7
,
9
,
11
}
and
C
=
{
7
,
8
,
9
,
10
,
11
}
, compute
(
A
∩
U
)
∩
(
B
∪
C
)
.
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A
{
7
}
76%
B
{
8
}
11%
C
{
9
}
9%
D
{
6
}
4%
Solution:
Here
A
∩
U
=
{
2
,
4
,
7
}
;
B
∪
C
=
{
3
,
5
,
7
,
8
,
9
,
10
,
11
}
.
(
A
∩
C
)
∩
(
B
∪
C
)
=
{
2
,
4
,
7
}
∩
{
3
,
5
,
7
,
8
,
9
,
10
,
11
}
=
{
7
}