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Mathematics
Mathematics
Problem
For every real number
a
>
1
a>1
a
>
1
, which of the following inequalities is always true? a)
a
1
/
3
>
a
1
/
2
a^{1/3} > a^{1/2}
a
1/3
>
a
1/2
b)
a
−
1
>
a
0
a^{-1} > a^{0}
a
−
1
>
a
0
c)
a
2
>
a
1
a^{2} > a^{1}
a
2
>
a
1
d)
a
1
>
a
2
a^{1} > a^{2}
a
1
>
a
2
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