What is the number of integral value satisfying signum equation.

Question

The number of integral values of x satisfying the equation sgn ([15/1+x^2]) = [1+{2x}] is.

[Note: sgn(y), [y] and {y} denote signum function, greatest integer function and fractional part fu respectively]

Answer 1

We have

Hence, the number of integral values of x are 7

where x = – 3, – 2, – 1, 0, 1, 2, 3.