Question

Which inequality is equivalent to -6x ≥ 30?

Answer 1

Hey there!

Our goal here is to isolate the variable, x. In order to do this following the dividing and algebraic property of equality (which states that the equation remains equal if you do the same thing to both sides) , we must divide both sides by the coefficient of x, -6. That gives us: 

-6x/-6 ≥ 30/-6

Now, normally, we'd just complete this division - and we'd have our answer. But according to the rules of inequalities, when you multiply or divide by a negative number, the sign flips.

Thus, our answer is:

x ≤ - 5, or D.

Hope this helps!