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Question

Solve the following inequality:
x25x+6|x|+7<0

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Solution

x0
x25x+6x+7<0
(x2)(x3)x+7<0
x(,7)
and
x<0
x25x+6x+7<0
(x2)(x3)x7>0
x(2,3)(7,)
x(,7)(2,3)(7,)

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