If x is real , show that (x-2)(x-3)(x-4)(x-5)+2 is always positive.

If x be real then prove that (x-1)(x-2)+1 is always positive.

if x is real,show that (x)/(x^(2)-5x+9) always lies in the interval [-(1)/(11),1]

If S is the set of all real x such that (2x-1)/(2x^3+3x^2+x) is positive

IF x is real and the expressions 3x^2-17x+20 is always positive, show that, x cannot lie between 5/3 and 4.

If x is real, show that the value of x/(x^2-5x+9) always lie between 1 and (-1/11)

If S is the set of all real x such that (2x-1)/(2x^(3)+3x^(2)+x) is positive then S cantains

If x is real show sthat the value of (x^(2)+2x+3)/(x^(2)+2x+4) always lies between 2/3 and 1.

Prove that 5x^(2)-8x+6 is always positive.

If x is real show that the expressions ((x-1)(x+3))/((x-2)(x+4)) has no value between 4/9 and 1.

If x be real then 2x^(2)+5x-3>0 if