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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
If P is the s...
Question
If P is the solution set of
−
3
x
+
4
<
2
x
−
3
,
x
ϵ
N
and
Q is the solution set of
4
x
−
5
<
12
,
x
ϵ
W
, find Q-P.
[4 MARKS]
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Solution
Solving inequation P and Q: 1.5 Marks each
Answer: 1 Mark
−
3
x
+
4
<
2
x
−
3
,
x
ϵ
N
⇒
−
5
x
<
−
7
⇒
x
>
7
5
x
=
2
,
3
,
4...
⇒
P
=
2
,
3
,
4...
Now,
4
x
−
5
<
12
,
x
ϵ
W
⇒
4
x
<
17
⇒
x
<
17
4
,
x
=
1
,
2
,
3
,
4
⇒
Q
=
0
,
1
,
2
,
3
,
4
Q
−
P
=
0
,
1
Suggest Corrections
5
Similar questions
Q.
If the solution set of
|
2
x
−
1
|
+
|
3
x
−
4
|
=
|
5
x
−
5
|
is
x
∈
(
−
∞
,
p
]
∪
[
4
3
,
∞
)
, then the value of
p
is
Q.
If the solution set of
|
2
x
−
1
|
+
|
3
x
−
4
|
=
|
5
x
−
5
|
is
x
∈
(
−
∞
,
p
]
∪
[
4
3
,
∞
)
, then the value of
p
is
Q.
If x belongs to set of integers, A is the solution set of
2
(
x
−
1
)
<
3
x
−
1
and B is the solution set of
4
x
−
3
≤
8
+
x
, find A
∩
B.
Q.
If
x
belongs to a set of integers,
A
is the solution set of
2
(
x
−
1
)
<
3
x
−
1
and
B
is the solution set of
4
x
−
3
≤
8
+
x
, then find
A
∩
B
.
Q.
Given
P
=
{
x
:
5
<
2
x
−
1
≤
11
,
x
ϵ
R
}
,
Q
=
{
x
:
−
1
≤
3
+
4
x
<
23
,
x
ϵ
Z
}
. Find the number of integral solution of
P
∩
Q
.
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