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Inequality
AMC10/12
2010
Problem - 692
The set of real numbers
x
for which
1
x
−
2009
+
1
x
−
2010
+
1
x
−
2011
≥
1
is the union of intervals of the form
a
<
x
≤
b
. What is the sum of the lengths of these intervals?
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