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Byju's Answer
Standard XII
Mathematics
Composite Function
Find the solu...
Question
Find the solution set of the inequality
x
2
−
x
−
6
<
0
.
A
x
>
−
2
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B
−
2
<
x
<
3
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C
x
>
3
and
x
<
−
2
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D
x
>
3
or
x
<
−
2
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E
x
<
3
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Solution
The correct option is
B
−
2
<
x
<
3
Given,
x
2
−
x
−
6
<
0
⇒
x
2
−
3
x
+
2
x
−
6
<
0
⇒
(
x
−
3
)
(
x
+
2
)
<
0
⇒
−
2
<
x
<
3
Suggest Corrections
0
Similar questions
Q.
The solution set of the inequality
(
3
x
−
4
x
)
⋅
ln
(
x
+
2
)
x
2
−
3
x
−
4
≤
0
is
Q.
Find the complete solution set of the inequality
x
(
2
x
−
1
)
(
x
+
2
)
(
x
−
3
)
2
≤
0
.
Q.
Solution set of the inequality
l
o
g
7
x
−
2
x
−
3
<
0
is
Q.
Match the elements of the list I, which contains inequalities, with the elements of list II, which has solution sets.
List-I
(Inequality)
List-II
(Solution set)
A)
x
2
−
4
x
+
3
>
0
1)
(
3
,
4
)
B)
x
2
−
5
x
+
6
≤
0
2)
(
−
1
,
1
)
∪
(
2
,
4
)
C)
x
2
+
6
x
−
27
>
0
,
−
x
2
+
3
x
+
4
>
0
3)
(
−
∞
,
1
)
∪
(
3
,
∞
)
D)
x
2
−
3
x
−
4
<
0
,
x
2
−
3
x
+
2
>
0
4)
[
3
,
4
]
5)
[
2
,
3
]
Then the correct order for A B C D, is
Q.
l
o
g
(
x
−
2
)
(
2
x
−
3
)
>
l
o
g
(
x
−
2
)
(
24
−
6
x
)
The solution set of the above inequality has integral values of x
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