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Byju's Answer
Standard XII
Mathematics
Definition of Sets
State whether...
Question
State whether following statement is true or false.
Given
μ
=
{
x
/
x
is an integer
,
−
4
≤
x
≤
6
}
,
P
′
=
{
−
4
,
−
3
,
0
,
1
,
2
,
4
,
6
}
Q
′
=
{
−
3
,
−
2
,
1
,
3
,
6
}
The elements of the set
P
are
P
=
{
−
2
,
−
1
,
3
,
5
}
.
A
True
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B
False
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Solution
The correct option is
A
True
∪
=
{
−
4
,
−
3
,
−
2
,
−
1
,
0
,
1
,
2
,
3
,
4
,
5
,
6
}
P
1
=
{
−
4
,
−
3
,
0
,
1
,
2
,
4
,
6
}
Q
1
=
{
−
3
,
−
2
,
1
,
3
,
6
}
(
P
)
=
∪
−
P
1
=
{
2
,
−
1
,
+
3
,
+
5
}
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0
Similar questions
Q.
State whether the given statement is true or false.
If
p
1
−
2
x
×
√
p
=
q
1
−
2
x
×
√
q
;
p
≠
q
then value of
x
is
3
4
.
Q.
State whether the following statements is True or False?
p
↔
q
≡
(
p
∧
q
)
∨
(
∼
p
∧
∼
q
)
Q.
Write whether each of the following expressions are monomials, binomials or trinomials.
(1) x
2
− 5x + 6
(2) 7x
(3) 3a + 4b
(4) y
3
− 2y
2
+ 3
(5) 5m − 7
(6) −4
(7) p
2
− 2pq + 6q
2
(8) 9 − 4x
Q.
Use the factor theorem and state whether
g
(
x
)
is a factor of
p
(
x
)
in the following case.
State True Or False:
p
(
x
)
=
x
3
−
4
x
2
+
x
+
6
;
g
(
x
)
=
x
−
3
Q.
If
α
,
β
are the roots of the equation
x
2
−
p
x
+
q
=
0
, then the quadratic equation whose roots are
(
α
2
−
β
2
)
(
α
3
−
β
3
)
and
(
α
3
β
2
+
α
2
β
3
)
:
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