The set of values of a for which the inequality, `x^2 + ax + a^2 + 6a < 0` is satisfied for all `x belongs (1, 2)` lies in the interval:

Sum of the squares of all integral values of a for which the inequality x^(2) + ax + a^(2) + 6a lt 0 is satisfied for all x in ( 1,2) must be equal to

Sum of the squares of all integral values of a for which the inequality x^(2) + ax + a^(2) + 6a lt 0 is satisfied for all x in ( 1,2) must be equal to

The set of values of 'a' for which the inequality x^(2)-(a+2)x-(a+3)<0 is satisfied by atleast one positive real x,

The comlete set of values of m for which the inequality (x ^(2) -mx-2)/( x ^(2) + mx +4)gt-1 is satisfied aa x in R, is :

The comlete set of values of m for which the inequality (x ^(2) -mx-2)/( x ^(2) + mx +4)gt-1 is satisfied aa x in R, is :

The set of values of x for which the inequality [x]^(2)-5[x]+6<=0 (where [.] denote the greatest integral function) hold good is?

The set of values of x for which the inequality [x]^(2)-5[x]+6<=0( where [.] denotes greatest integer function)holds good is

The set of exhaustive values of 'a' for which the inequality (a^(2)+3)x^(2)+(a+2)x-4<2 holds of at least one negative x, is