The number of integral values of K' the inequality `|(x^2+kx+1)/(x^2+x+1)|<3` is satisfied for all real values of x is....

" The number of integral values of "'x'" satisfying the inequality "(1)/((x^(2)+x))<=(1)/((2x^(2)+2x+3))" is/are "

The number of integral values of k for which the inequality x^(2)-2(4k-1)x+15k^(2)-2k-7 ge0 hold for x in R are _____________

The number of integral values of k for which the inequality x^(2)-2(4k-1)x+15k^(2)-2k-7 ge0 hold for x in R are _____________

Number of integral values of x satisfying the inequality (x^(2)(x+1)(x^(2)-1)(x+2))/(x^(2)-2x-3)<=0

Number of integral solutions of inequality |x+3|>|2x-1| is

Find the number of integral values of a so that the inequation x^(2)-2(a+1)x+3(a-3)(a+1)<0 is satisfied by atleast one x in R^(+)

Number of integral solutions of the inequation (x+2)/(x^2+1)gt1/2 is-

Number of integral values of x which satisfy the inequality log_(x+(1)/(x))(1+5x-x^(2))>0, is :