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Byju's Answer
Standard X
Mathematics
Solving a Quadratic Equation by Factorization Method
What is the s...
Question
What is the solution set of the inequality
x
2
+
3
x
−
10
>
8
?
A
x
>
3
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B
{
x
|
x
<
−
6
o
r
x
>
3
}
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C
x
<
3
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D
{
x
|
x
<
−
3
o
r
x
>
6
}
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Solution
The correct option is
B
{
x
|
x
<
−
6
o
r
x
>
3
}
Given,
x
2
+
3
x
−
10
>
8
⇒
x
2
+
3
x
−
18
>
0
⇒
(
x
−
3
)
(
x
+
6
)
>
0
⇒
x
<
−
6
o
r
x
>
3
⇒
{
x
|
x
<
−
6
or
x
>
3
Hence, option B is correct choice.
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