Least integral value of x satisfying the inequation `(x^2 + 1) < (x + 2)^2< 2x^2 +4x-12` is

The number of integral values of x satisfying the inequation x^(2)-|x|-6<=0 is

If f(x)=1-3sqrt(e)x-ex^(3) then find least integral value of x satisfying the inequality f((e^(1/x))/(x-2))ltf(((e^((1)/(10))))/(8)sgn(1+sgn(|e^(x)-1|)))

The largest integral value of x satisfying the inequality (tan^(-1)(x))^(2)-4(tan^(-1)(x))+3gt0 is :

The largest integral value of x satisfying the inequality (tan^(-1)(x))^(2)-4(tan^(-1)(x))+3gt0 is :

Nurmber of non negative integral values of x satisfying the inequality (2)/(x^(2)-x+1)-(1)/(x-1)-(2x-1)/(x^(3)+1)>=0 is

The least possible is integral value of x satisfying the inequality .^10C_(x-1)gt2.^10C_x is (A) 8 (B) 9 (C) 10 (D) 11