Answer
$(-\infty,2) $.
Work Step by Step
Step 1. For $\frac{x+4}{x-2}-1\le0\Longrightarrow \frac{6}{x-2}\le0$, identify boundary points as $x=2$.
Step 2. Form intervals $(-\infty,2),(2,\infty)$.
Step 3. Choose test values for each interval $x=0,3$.
Step 4. Test the inequality to get results: $True,\ False$
Step 5. We have the solution $(-\infty,2) $.
