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Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3...

`Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3`

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Given that `(8x^2+16x−51​)/((2x−3)(x+4))−3>0`
⇒`(2x^2+x−15​)/(2x^2+5x−12)>0⇒((2x−5)(x+3)​)/((2x−3)(x+4))​>0`
Hence, both numerator and denominator are positive if x<−4 or` x>5/2`​ and both negative if `−3
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RD SHARMA-INCREASING AND DECREASING FUNCTION -Solved Examples And Exercises
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  2. Solve: (1+x^2)/(x^2-5x-6)<0

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  3. Sol v e(8x^2+16 x-51)/(2x^2+5x-12)>3

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