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Question

Solve :
5x+23x15x23x+7<0

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Solution

Consider given the inequality,


5x+23x15x23x+7<0

(5x+2)(3x+7)(5x2)(3x1)(3x1)(3x+7)<0

(5x+2)(3x+7)(5x2)(3x1)<0

(15x2+41x+14)(15x211x+2)<0

52x+12<0

x<313


Hence, x(,313)

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