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National and Regional Contests
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All-Russian Olympiad
1990 All Soviet Union Mathematical Olympiad
511
511
Part of
1990 All Soviet Union Mathematical Olympiad
Problems
(1)
ASU 511 All Soviet Union MO 1990 x^4 > x - 1/2
Source:
8/14/2019
Show that
x
4
>
x
−
1
2
x^4 > x - \frac12
x
4
>
x
−
2
1
for all real
x
x
x
.
algebra
inequalities