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Question

Solve: (x1)(x2)(x3)(x+1)(x+2)(x+3)>1

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Solution

(x1)(x2)(x3)(x+1)(x+2)(x+3)(x+1)(x+2)(x+3)>0
(x1)(x25x+6)(x+1)(x2+5x+6)(x+1)(x+2)(x+3)>0
(x35x2+6xx2+5x6)(x3+5x2+6x+x2+5x+6)(x+1)(x+2)(x+3)>0
x36x2+11x6(x3+6x2+11x+6)(x+1)(x+2)(x+3)>0
12x212(x+1)(x+2)(x+3)>0
x2+1(x+1)(x+2)(x+3)<0(x2+1>0)
1(x+1)(x+2)(x+3)<0
xϵ(,3)(2,1)

996672_997944_ans_0a15578301994885a935247459bf0176.png

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