MathDB
Problems
Contests
National and Regional Contests
Serbia Contests
Serbia Team Selection Test
1985 Yugoslav Team Selection Test
Problem 3
Problem 3
Part of
1985 Yugoslav Team Selection Test
Problems
(1)
Inequalities
Source:
5/7/2015
1) proove for positive
a
,
b
,
c
,
d
a, b, c, d
a
,
b
,
c
,
d
a
b
+
c
+
b
c
+
d
+
c
d
+
a
+
d
a
+
b
≥
2
\frac{a}{b+c} + \frac{b}{c+d} + \frac{c}{d+a} + \frac{d}{a+b} \ge 2
b
+
c
a
+
c
+
d
b
+
d
+
a
c
+
a
+
b
d
≥
2
algebra
Inequality
inequalities