Hi there!
The answer is
[tex]x \leqslant - 5[/tex]
We have the following inequality.
[tex] - 6x \geqslant 30[/tex]
We can divide both sides by -6, but because we divide by a negative number, we must flip the sign.
[tex]x \leqslant 30 \div - 6[/tex]
[tex]x \leqslant - 5[/tex]