In order to solve this equation, we must first isolate the absolute value. In this case, we do it by dividing both sides by which leaves us with:

When we work with absolute value equations, we're actually solving two equations. So, our next step is to set up these two equations:

and

In both cases we solve for by adding to both sides, leaving us with

and

This can be rewritten as

In order to solve this equation, we must first isolate the absolute value. In this case, we do it by dividing both sides by which leaves us with:

When we work with absolute value equations, we're actually solving two equations. So, our next step is to set up these two equations:

and

In both cases we solve for by adding to both sides, leaving us with

and

This can be rewritten as

When we work with absolute value equations, we're actually solving two equations:

and

Adding to both sides leaves us with:

and

Dividing by in order to solve for allows us to reach our solution:

and

Which can be rewritten as:

When we work with absolute value equations, we're actually solving two equations:

and

Adding to both sides leaves us with:

and

Dividing by in order to solve for allows us to reach our solution:

and

Which can be rewritten as:

First we need to get the expression with the absolute value sign by itself on one side of the inequality. We can do this by subtracting two from both sides then dividing everything by three.

Since absolute value signs make both negative and positive values positive we need to set up a double inequality.

Now to solve for subtract four from each side.

First we need to get the expression with the absolute value sign by itself on one side of the inequality. We can do this by subtracting two from both sides then dividing everything by three.

Since absolute value signs make both negative and positive values positive we need to set up a double inequality.

Now to solve for subtract four from each side.

To solve absolute value inequalities, you have to write it two different ways. But first, divide out the 4 on both sides so that there is just the absolute value on the left side. Then, write it normally, as you see it: and then flip the side and make the right side negative: . Then, solve each one. Your answers are and .

To solve absolute value inequalities, you have to write it two different ways. But first, divide out the 4 on both sides so that there is just the absolute value on the left side. Then, write it normally, as you see it: and then flip the side and make the right side negative: . Then, solve each one. Your answers are and .

Our first step in solving this equation is to isolate the absolute value. We do this by dividing both sides by

.

We then set up our two equations:

and .

Subtracting 4 from both sides leaves us with

and .

Lastly, we multiply both sides by 2, leaving us with :

and .

Which can be rewritten as:

Our first step in solving this equation is to isolate the absolute value. We do this by dividing both sides by

.

We then set up our two equations:

and .

Subtracting 4 from both sides leaves us with

and .

Lastly, we multiply both sides by 2, leaving us with :

and .

Which can be rewritten as: