Find the set of all possible real value of a such that the inequality `(x-(a-1))(x-(a^2+2))<0` holds for all `x in (-1,3)dot`

Illustration 1.2 Find the set of all possible real values of a such that the inequality (x (a 1) (x (a2 2) 0 holds for all x E (-1,3)

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 (0,1) b.(oo,-1] c.(-oo,-1) d.(1,oo)

Find the set of all real values of x satisfying the inequality sec^(-1)xgt tan^(-1)x .

Find the possible values of 'a' such that the inequality 3-x^(2)gt |x-a| has atleast one negative solution

The set of real values of x satisfying the inequality log _(x+(1)/(x))(log_(2)((x-1)/(x+2)))>0, is equal to

The set of real values of x satisfying the inequality |x^(2) + x -6| lt 6 , is

Let set of all possible values of lamda such that f (x)= e ^(2x) - (lamda+1) e ^(x) +2x is monotonically increasing for AA x in R is (-oo, k]. Find the value of k.

Set of all real values of x satisfying the inequation sqrt(4-x^(2))>=(1)/(x) is

The set of all values of x satisfying the inequality (sec^(-1)x)^(2)-7(sec^(-1)x)+12>=0 is

Find the set of values of x for which the inequality In(1+x)>(x)/(1+x) is valid.