Solve the Inequality for x x^2+1>0

$x^{2} + 1 > 0$

Subtract $1$ from both sides of the inequality.

$x^{2} > - 1$

Since the left side has an even power, it is always positive for all real numbers.

All real numbers

The result can be shown in multiple forms.

All real numbers

Interval Notation:

$(- \infty, \infty)$