Answer
$(-\infty,-1)U(1,\infty)$
Work Step by Step
Step 1.Factor and identify boundary points (zeros) $(x^2+1)(x+1)(x-1)\gt0$ as $x=-1,1$ which divide the x-axis into three intervals $(-\infty,-1),(-1,1),(1,\infty)$
Step 2. Choose test values in each interval $x=-2,0,2$ and test the inequality to get $True, \ False,\ True$
Step 3. Thus the solution intervals are $(-\infty,-1)U(1,\infty)$
