The number of integer values of x for which the inequality `"log "_(10) ((2x-2007)/(x+1))ge0,` is true, is

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

The true set values of 'a' for which the inequality int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The true set values of 'a' for which the inequality int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The true set values of 'a' for which the inequal- ity int _(a)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true, is

The true set of values of 'a' for which the inequality int_(x)^(0)(3^(-2x)-2.3^(-x)) dx ge 0 is true , is

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 _____________

The true set of values of 'a' for which the inequality int_(a)^(0)(3^(-2x)-2*3^(-x))dx>=0 is true is -

The number of integral values in the solution set of inequality,log _(x+3)(x^(2)-x)<1 is

Number of integers satisfying the inequality log_((1)/(2))|x-3|>-1 is...