Find the number of integral values of `y={(x^2+1)/2},0 lt x lt 2`

Find the number of integral values of x satisfying sqrt(-x^2+10x-16) lt x -2

The number of integral solutions of, x^(2)-5 x+4 lt 0 is

The number of integral solutions of x^(2)-3x-4 lt 0 , is

The number of integral solutions of x^(2)-3x-4 lt 0 , is

The number of integral vaules of x satisfying 5x-1 lt (x+1)^(2) lt 7x-3 is

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the number of positive integral values of k for which kx ^(2) +(k-3)x+1 lt 0 for atleast one positive x.

Find the number of integral solutions of x_1+x_2+x_3+=24 subjected to the condition that 1lt=x_1lt=5,12lt=x_2lt=18 and -1lt=x_3