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Find the set of all x foir which (2x)/((...

Find the set of all `x` foir which `(2x)/((2x^2+5x+2))>1/((x+1))dot`

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We have `(2x)/((2x^(2)+5x+2))ge1/((x+1))`
`implies(2x)/((x+2)(2x+1))-1/((x+1))gt0`
`implies((2x^(2)+2x)-(2x^(2)+5x+2))/((x+2)(x+1)(2x+1))gt0`
`implies-((3x+2))/((x+2)(x+1)(2x+1))gt0`
or `((3x+2))/((x+2)(x+1)(2x+1))lt0`
The critical points are `(-2),(-1),(-2/3),(-1/2)`.
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ARIHANT MATHS-THEORY OF EQUATIONS-Exercise (Questions Asked In Previous 13 Years Exam)
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