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Soros Olympiad in Mathematics
II Soros Olympiad 1995 - 96 (Russia)
9.5
3-2(3-2(3-...-2(3-2x))...) >x (II Soros Olympiad 1995-96 R1 9.5)
3-2(3-2(3-...-2(3-2x))...) >x (II Soros Olympiad 1995-96 R1 9.5)
Source:
June 2, 2024
algebra
inequalities
Problem Statement
Solve the inequality
3
−
2
(
3
−
2
(
3
−
.
.
.
−
2
(
3
−
2
x
)
)
.
.
.
)
>
x
3-2\left(3-2\left(3-...-2(3-2x)\right)...\right) >x
3
−
2
(
3
−
2
(
3
−
...
−
2
(
3
−
2
x
)
)
...
)
>
x
. The total number of right parentheses is
100
100
100
.
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