How to solve -3x>-18

Just divide both sides by minus 3 but remember that when you multiply or divide by a negative you have to swap the sign around.   

The problem to solve is:

-3x›-18

First, let's work on the left hand side of your inequality, the -3x
This means, for instance, to see if it can be simplified at all.
Multiply x and 3

Multiply x and 1

 

The x just gets copied along.

The answer is x

x

3*x evaluates to 3x

Because of the minus sign

3x becomes - 3x

The answer is -3x

So, all-in-all, the left hand side of your inequality can be written as: -3x

Now, let's work on the right hand side of your inequality, the -18
Because of the minus sign

18 becomes - 18

The answer is -18

The right hand side of your inequality can be written as: -18

So with these (any) simplifications, the inequality we'll set out to solve is:
-3x › -18

To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.
The last step is to divide both sides of the inequality by -3 like this:

To divide x by 1

 

The x just gets copied along in the numerator.

The answer is x

-3x ÷ -3 = x

 

-18 ÷ -3 = 6

 

Note! Here's an important point about inequalities: We are now dividing by -3, which is a number less than zero! This changes the form of your inequality. Or, in other words, your › will now become a ‹.

The solution to your inequality is:
x ‹ 6

 

So, your solution is: x must be less than 6