Answer
$(-\infty,0)U(1,\infty)$
See graph.
Work Step by Step
Step 1. Factor the inequality $x^2\ge x\longrightarrow x^2-x\ge0\longrightarrow x(x-1)\ge0$
Step 2. Identify the boundary points $x=0,1$ for intervals formed $(-\infty,0),(0,1),(1,\infty)$
Step 3. Choose test values for each interval $x=-1,0.5,2$ and test the inequality to get $True,\ False,\ True$
Step 4. Thus we have the solution interval(s) $(-\infty,0)U(1,\infty)$
Step 5. See graph.