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Mathematics
Mathematics
Problem
The inequality
sin
−
1
(
sin
5
)
>
x
2
−
4
x
\sin^{-1}(\sin 5) > x^2 - 4x
sin
−
1
(
sin
5
)
>
x
2
−
4
x
holds for (a)
x
∈
(
2
−
9
−
2
π
,
2
+
9
−
2
π
)
x \in (2 - \sqrt{9 - 2\pi}, 2 + \sqrt{9 - 2\pi})
x
∈
(
2
−
9
−
2
π
,
2
+
9
−
2
π
)
(b)
x
>
2
+
9
−
2
π
x > 2 + \sqrt{9 - 2\pi}
x
>
2
+
9
−
2
π
(c)
x
<
2
−
9
−
2
π
x < 2 - \sqrt{9 - 2\pi}
x
<
2
−
9
−
2
π
(d)
x
∈
ϕ
x \in \phi
x
∈
ϕ
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