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Problem
Problem
Solve the inequality
(
x
−
2
)
10000
(
x
+
1
)
253
(
x
−
1
2
)
971
(
x
+
8
)
4
x
500
(
x
−
3
)
75
(
x
+
2
)
93
≥
0
\frac{(x-2)^{10000}(x+1)^{253}\left(x-\frac{1}{2}\right)^{971}(x+8)^4}{x^{500}(x-3)^{75}(x+2)^{93}} \ge 0
x
500
(
x
−
3
)
75
(
x
+
2
)
93
(
x
−
2
)
10000
(
x
+
1
)
253
(
x
−
2
1
)
971
(
x
+
8
)
4
≥
0
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