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Mathematics
Mathematics
Problem
Find the set of all real numbers
x
x
x
that satisfy
arctan
(
2
x
)
>
π
4
\arctan(2x) > \dfrac{\pi}{4}
arctan
(
2
x
)
>
4
π
. a)
x
>
3
2
x > \dfrac{\sqrt{3}}{2}
x
>
2
3
b)
x
>
1
2
x > \dfrac{1}{2}
x
>
2
1
c)
x
<
1
2
x < \dfrac{1}{2}
x
<
2
1
d)
x
>
1
x > 1
x
>
1
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