Answer
$(-\infty,4]\cup[6,\infty)$
Work Step by Step
Step 1. $x^2-10x+24\ge0\Longrightarrow (x-4)(x-6)\ge0$
Step 2. Identify boundary points $x=4,6$ and form intervals $(-\infty,4],[4,6],[6,\infty)$
Step 3. Choose test values $x=0,5,7$ for each interval, test the inequality to get resuls $True,\ False,\ True$
Step 4. We have the solution $(-\infty,4]\cup[6,\infty)$
