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

Correct option is 3(−∞,−9)∪(−9,0)∪(0,1]∪(2,3)∪[5,6)

Questions

The complete solution set of inequality $\frac{(x - 5)^{1005} (x + 8)^{1008} (x - 1)}{x^{1006} (x - 2)^{3} (x - 3)^{5} (x - 6) (x + 9)^{1010}} \leq 0$ 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)]

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detailed solution

Correct option is C

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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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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The complete solution set of inequality $\frac{(x - 5)^{1005} (x + 8)^{1008} (x - 1)}{x^{1006} (x - 2)^{3} (x - 3)^{5} (x - 6) (x + 9)^{1010}} \leq 0$ is