The complete solution set of inequality (x−5)1005(x+8)1008(x−1)x1006(x−2)3(x−3)5(x−6)(x+9)1010≤0 is

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(−∞,−9)∪(−8,0)∪(0,1)∪(2,3)∪[5,6)

(−∞,−9)∪(−9,0)∪(0,1)∪(2,3)∪(5,6)

(−∞,−9)∪(−9,0)∪(0,1]∪(2,3)∪[5,6)

(−∞,0)∪(0,1]∪(2,3)∪[5,6)]

answer is C.

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Detailed Solution

We have (x−5)1005(x+8)1008(x−1)x1006(x−2)3(x−3)5(x−6)(x+9)1010≤0From the sign schemex∈(−∞,9)∪(−9,0)∪(0,1]∪(2,3)∪[5,6)

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