The set of all possible real values of a such that the inequality `(x-(a-1))(x-(a^2-1))<0` holds for all `x in (-1,3)` is a. `(0,1)` b. `(oo,-1]` c. `(-oo,-1)` d. `(1,oo)`

Solve the inequality ((x-1))/((x^2-4x+3)) <1

Find all possible values of sqrt(|x|-2)

Let S be the set of all non-zero real numbers alpha such that the quadratic equation alphax^2-x+alpha=0 has two distinct real roots x_1 and x_2 satisfying the inequality abs(x_1-x_2)lt1 . Which of the following intervals is (are) a subset(s) of S ?

let f(x)=-x^3+(b^3-b^2+b-1)/(b^2+3b+2) if x is 0 to 1 and f(x)=2x-3 if x is 1 to 3 .All possible real values of b such that f (x) has the smallest value at x=1 are

The sum pf all real values of x satisfying the equation (x^(2)-5x+5)^(x^(2)-4x-60)=1 is

The set of values of x which satisfy the inequation (5x+8)/(4-x)lt2 , are-

Find all the possible values of 1/x for x>3 .

The set of real values of a for which the equation (2a^(2)+x^(2))/(a^(3)-x^(3))-(2x)/(ax+a^(2)+x^(2))+(1)/(x-a)=0 has a unique solution is (a) (−∞,1) (b) (−1,∞) (c) (-1,1) (d) R−{0}

Set of all real value of a such that f(x)=((2a-1)x^2+2(a+1)x+(2a-1))/(x^2-2x+40) is always negative is a. (-oo,0) b. (0,oo) c. (-oo,1/2) d. none

The set of values of x satisfying simultaneously the inequalities sqrt((x-8)(2-x))/(log_(0.3)(10/7(log_2 5-1)))ge0 and 2^(x-3) -31 gt0 is