An integral value of p for which every solution of the inequality `x^(2)-4x+3<0` is larger than any solution of the inequality `px^(2)-4x-1>=0` is

Set of the values of parameter 'm for which every solution of the inequality x^(2)-3x+2<0 is also a solution of the inequility 2x^(2)-(m+1)x-(2m+3)<0, is

The solution of the inequality log_(x)(4x^(2)-1)<2, is

The solution set of the inequality 4x+3<6x+7 is

The solution to the inequality -2x+(3^(3)-5^(2))ge4 is

the smallest integral value of p for which the inequality (p-3)x^(2)-2px+3(p-2)>0 is satisfied for all real values of x, is

The solution of inequality 3tan^(2)x>=4sin^(2)x is

A polynomial P(x) with integral coefficients takes the value 5 at four distinct integral values of x. The number of integral solutions of the equation P(x)-3=0 is ________________

Solution set of the inequality log_(7)((x-2)/(x-3))<0 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 _____________