Find the set of all `x` for which (1987, 3M) `(2x)/(2x^2+5x+2)>1/(x+1)`

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

Find the set of all s for which (2x)/(2x^(2)+5x+2) gt (1)/(x+10

Find the set of values of x for which quad tan3x-tan2x1+tan3x tan2x

The set of all values of x for which ((x+1)(x-3)^(2)(x-5)(x-4)^(3)(x-2))/(x) lt 0

Find the set of real values of 'm' for which the equation ((x)/(1+x^(2)))^(2)-(m-3)((x)/(1+x^(2)))+m=0 has real roots.

Find the values of 'a' for which -3<(x^(2)+ax-2)/(x^(2)+x+1)<2 is valid for all real

Find the set of all x in [0, pi] for which 2sin^(2)x - 3sin x + 1 ge 0 .

Let f(x)= (2x)/(2x^2+5x+2) and g(x)=1/(x+1) . Find the set of real values of x for which f(x) gt g(x) .

Find the range of values of t for which 2sin t=(1-2x+5x^(2))/(3x^(2)-2x-1)