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Mathematics
Problem
Consider the system of inequalities: (1)
x
≥
0
x\ge0
x
≥
0
, \; (2)
y
≥
0
y\ge0
y
≥
0
, \; (3)
x
+
y
≥
1
x+y\ge1
x
+
y
≥
1
, \; (4)
x
+
y
≥
2
x+y\ge2
x
+
y
≥
2
. Identify which one of the four constraints is redundant and briefly justify your answer in one sentence.
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