If `|x^2- 2x- 8| + |x^2+ x -2|= 3|x +2|`, then the set of all real values of x is

If |x^(2)-4x-5|+|x^(2)-x-2|=3|x+1| then set of all real values of x is

If x^(2) + 2px - 2p + 8 gt 0 for all real values of x, then the set of all possible values of p is

If log_(3/2)((2x-8)/(x-2))<0 then set of all possible values of x is :

If ax^(2)-2x+1>0 for atleast one positive real x ,then set of all values of a is

If ax^(2)-2x+1>0 for atleast one positive real x, then set of all values of a is

If x is real,then the maximum value of 3-6x-8x^(2) is

If ((x-2)^(2)(3-x)^(3)(5-x)^(4))/((4-x)^(3))<0, then the exhaustive set of real values of x ,is :

If ((x-5)(x^2-2x+1))/((x-7)(x^2+2x+3)) is positive for all real values of x, show that x has no value between 5 and 7.