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Question
Mathematics
If A= x: x2 - 5 x + 6 = 0 B= 2 , 4 C= 4 , 5 then A× (B ∩ C) is
Q. If
A
=
{
x
:
x
2
−
5
x
+
6
=
0
}
,
B
=
{
2
,
4
}
,
C
=
{
4
,
5
}
,
then
A
×
(
B
∩
C
)
is
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A
{
(
2
,
4
)
,
(
3
,
4
)
}
B
{
(
4
,
2
)
,
(
4
,
3
)
}
C
{
(
2
,
4
)
,
(
3
,
4
)
,
(
4
,
4
)
}
D
{
(
2
,
2
)
,
(
3
,
3
)
,
(
4
,
4
)
,
(
5
,
5
)
}
Solution:
Clearly,
A
=
{
2
,
3
}
,
B
=
{
2
,
4
}
,
C
=
{
4
,
5
}
B
∩
C
=
{
4
}
∴
A
×
(
B
∩
C
)
=
{
(
2
,
4
)
,
(
3
,
4
)
}