Answer
$(-\infty,2) $
Work Step by Step
Step 1. Rewrite the inequality $\frac{x+4}{x-2}-1\le0$ as $\frac{6}{x-2}\le0$ Identify boundary points (zeros and asymptotes) as $x=2$ which divide the x-axis into two intervals $(-\infty,2),(2,\infty)$
Step 2. Choose test values in each interval $x=0,3$ and test the inequality to get $True,\ False$
Step 3. Thus the solution interval is $(-\infty,2) $
