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Question
Mathematics
Let A= x: x ∈ R, x<1 ; B= x: x ∈ R, x-1 ≥ and A ∪ B=R-D, then the set D is
Q. Let
A
=
{
x
:
x
∈
R
,
x
<
1
}
;
B
=
{
x
:
x
∈
R
,
x
−
1
≥
}
and
A
∪
B
=
R
−
D
, then the set
D
is
2481
219
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A
{
x
:
1
<
x
≤
2
}
100%
B
{
x
:
1
≤
x
<
2
}
0%
C
{
x
:
1
≤
x
≤
2
}
0%
D
None of these
0%
Solution:
A
=
[
x
:
x
∈
R
,
−
1
<
x
<
1
]
B
=
[
x
:
x
∈
R
:
x
−
1
≤
−
1
or
x
−
1
≥
1
]
=
[
x
:
x
∈
R
:
x
≤
0
or
x
≤
2
]
∴
A
∪
B
=
R
−
D
where
D
=
[
x
:
x
∈
R
,
1
≤
x
<
2
]