Chapter 4 - Polynomial and Rational Functions - 4.4 Polynomial and Rational Inequalities - 4.4 Assess Your Understanding - Page 219: 32

$(-1,\infty)$

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