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Akdeniz University MO
1997 Akdeniz University MO
2
easy inequality
easy inequality
Source:
January 30, 2016
inequalities
algebra
Problem Statement
Let
x
,
y
,
z
,
t
x,y,z,t
x
,
y
,
z
,
t
be real numbers such that,
1
≤
x
≤
y
≤
z
≤
t
≤
100
1 \leq x \leq y \leq z \leq t \leq 100
1
≤
x
≤
y
≤
z
≤
t
≤
100
. Find minimum value of
x
y
+
z
t
\frac{x}{y}+\frac{z}{t}
y
x
+
t
z
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