Find all the real values of x for which `(x-1)/(4x+5)lt(x-3)/(4x-3)`

Find the values of x for which (x^(2)-4x+3)/(x^(2)+x+1)<0

The set of all values of x for which ((x+1)(x-3)^(2)(x-5)(x-4)^(3)(x-2))/(x) lt 0

Let y=sqrt(((x+1)(x-3))/((x-2)))* Find all the real values of x for which y takes real values.

Let sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

find the real value of x for which the matrix =[(x+1,3,5),(1,x+3,5),(1,3,x+5)] is non-singular.

Let y=sqrt(2/(x^(2)-x+1)-1/(x+1)-(2x+1)/(x^(3)+1)) , find all the real values of x for which y takes real values.

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has all real solutions

Find all the values of p for which the equation x^(4)-4x^(3)-8x^(2)+p=0 has two real solutions