The given inequality is
[tex]\frac{x}{3-7}\ge0[/tex]The denominator on the left-hand side evaluates to 3 - 7 = -4, and therefore,
[tex]\frac{x}{-4}\ge0[/tex]we multiply both sides by -4 (but in doing so the direction on the inequality reverses) to get
[tex]\begin{gathered} x\le0\cdot-4 \\ \boxed{x\le0} \end{gathered}[/tex]which is our answer!
