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Problem 3
Inequalities
Inequalities
Source:
May 7, 2015
algebra
Inequality
inequalities
Problem Statement
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
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