The complete solution set of the inequality `(3^x(2x-5)(x^2+x+2))/((cosx-2)(x^2+x))lt=0` is (i) `(-infty,-1)` (ii) `(5/2,infty)` (iii) `(-1,5/2]` (iv) `(-1,0)cup [5/2,infty)`

Set of all the solutions of inequality ((x-1)(x+1)(x-2)^(2))/(x-5)<=0 is

The solution set of the inequation ||x|-1| < | 1 – x|, x in RR, is (i) (-1,1) (ii) (0,infty) (iii) (-1,infty) (iv) none of these

The solution set of the inequation ||x|-1| < | 1 – x|, x in RR, is (i)(-1,1) (ii)(0,infty) (iii)(-1,infty) (iv) none of these

The function f(x)=1/(1+x^2) is decreasing in the interval (i) (-infty,-1) (ii) (-infty,0) (iii) (1,infty) (iv) (0,infty)

The set of all x satisfying the inequality (4x-1)/(3x+1) ge 1 is : a) (-infty, -1/3) cup [1/4, infty) b) (-infty, -2/3) cup [5/4, infty) c) (-infty, -1/3) cup [2, infty) d) (-infty, -2/3] cup [4, infty)

The domain of f(x)=log_x 12 is (i) (0,infty) (ii ) (0,1)cup (1,infty) (iii) (-infty,0) (iv) (2,12)

Evaluate lim_(x to infty) ((x^(3))/(2x^(3)-1)-(x^(2))/(2x-1))

Compute lim_(x to infty)(x^(2)+5x+2)/(2x^(2)-5x+1)