The number of integral values of x for which the determinant of the matrix `[(5x+14,-2),(7x+8,x)]` is alwats less than 1 is

Determine the values of x for which the matrix A= [(x+1,-3 ,4),(-5,x+2, 2) ,(4 ,1,x-6)] is singular.

The number of integral value(s) of a so that the graph of y=16 x^(2)+8(a+5) x-7 a-5 is always above the x -axis is

Integral value of x for, which (5x-1)lt(x+1)^2lt7x-3

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

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

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

The number of value(s) of x, which satisfy 7x+2=8x+2 is _____

The possible greates integral value of a for which the expression (ax^(2)+3x+4)/(x^(2)+2x+2) is less than 5 for all real x is ______

The possible greates integral value of a for which the expression (ax^(2)+3x+4)/(x^(2)+2x+2) is less than 5 for all real x is ______