The complete solution set of `(x^2 - |x| - 12)/(x-3) > 0` is (i)` [-4,3)`, (ii) `[4,infty)`, (iii) `[-4,3) cup [4,infty)` (iv) `(-4,4) cup [4,infty)`

The complete solution set of the inequality cos^(-1)(cos 4) gt 3x^(2) - 4x is

The complete solution set of the inequality cos^(-1)(cos 4) gt 3x^(2) - 4x 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 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)

Evaluate lim_(x to infty) (x^4-5x)/(x^2-3x+1)

The exhaustive values of x for which f(x) = tan^-1 x - x is decreasing is (i) (1,infty) (ii) (-1,infty) (iii) (-infty,infty) (iv) (0,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)

Consider the equation log_2 ^2 x- 4 log_2 x- m^2 -2m-13=0,m in R. Let the real roots of the equation be x_1,x_2, such that x_1 < x_2 .The set of all values of m for which the equation has real roots is (i) (-infty ,0) (ii) (0,infty) (iii) [1, infty) (iv) (-infty,infty)

Evaluate lim_(x to infty) (x^3+x)/(x^4-3x^2+1)