The sheet is titled Solving Inequalities. I need to solve this question by equivalent equations and show my steps.

So, how do I solve 6x<12?
Would I divide both sides by 6 meaning x would = 2? or??

yes! and dividing by 6 would make sense because it would read x<2 or x is less than 2.

Is there a spot online that would show how to show this on a line graph that shows -5 - 4 - 3 -2 -1 0 1 2 3 4 ?

Not that I can think of...I think I remember using a line graph where you circle the number (2 in the last case) and since it is not equal to x, you don't darken it in, then draw a line that extends to all numbers less than 2. x is somewhere in there.

Do I include the negative numbers?

Yes. Draw a line from -5 to 5 and fill it out from there.

To solve the inequality 6x < 12, you can use equivalent equations and follow these steps:

1. Start by rewriting the inequality with an equal sign:
6x = 12

2. Now, to isolate x, divide both sides of the equation by 6:
(6x)/6 = 12/6
x = 2

So, your answer is x = 2.

In this case, dividing both sides by 6 works because dividing by a positive number does not change the direction of the inequality symbol. However, there is an important exception: if you divide by a negative number, you must reverse the direction of the inequality symbol.

Keep in mind that when you solve an inequality using equivalent equations, you need to be mindful of any specific rules or exceptions that apply to the particular inequality you are working with.