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Byju's Answer
Standard XII
Mathematics
Properties of Set Operation
If A= 0,1,2...
Question
If
A
=
{
0
,
1
,
2
,
3
}
and
B
=
{
2
,
3
,
4
,
5
,
6
}
, then verify that
A
−
(
A
−
B
)
=
A
∩
B
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Solution
A
−
B
=
{
0
,
1
,
2
,
3
}
−
{
2
,
3
,
4
,
5
,
6
}
=
{
0
,
1
}
L.H.S.
=
A
−
(
A
−
B
)
=
{
0
,
1
,
2
,
3
}
−
{
0
,
1
}
and R.H.S.
=
A
∩
B
=
{
0
,
1
,
2
,
3
}
∩
{
2
,
3
,
4
,
5
,
6
}
=
{
2
,
3
}
⇒
L.H.S.
=
R.H.S.
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0
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