Which inequality is equivalent to this thing that I don’t know how to explain but pls help it would mean a lot and I can’t get any others wrong or I’ll fail the lesson help plss

-6x ≥ 30   Divide -6 on both sides to get "x" by itself

 When you divide/multiply a negative number in an inequality, you flip the sign >/<

x ≤ -5   Your answer is the bottom right option

To get this answer, you would divide both sides by -6 to undo the multiplication. When you multiply or divide both sides of an inequality by a negative number, the inequality sign will flip.

So,

... dividing both sides by -6; inequality sign flips

----------------------

The longer way to do the problem would be to do it like this

.... adding 6x to both sides

... subtracting 30 from both sides

... dividing both sides by 6

The inequality sign does not flip because we are dividing both sides by a positive number.