Solve the inequality:- (1+x2)/(x2 - 5x + 6) < 0

Dear Student,
Please find below the solution to the asked query:

We have,1+x2x2-5x+6<0x2+1x2-2x-3x+6<0x2+1xx-2-3x-2<0x2+1x-2x-3<0This is only possible if x-2x-3<0 as x2+1>0 xRx-2x-3<0x-2<0 and x-3>0 or x-2>0 and x-3<0x<2 and x>3 or x>2 and x<32>x>3 or 2<x<3xϕ or x2,3So, x2,3

Regards

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