For the most part, you can treat inequalities just like equations. (It is not exact, as you will see below.) Thus, start by isolating your variables. Subtract from both sides:

Next, subtract from both sides:

Finally—here you need to be careful—divide by . When you divide or multiply by a negative value in inequalities, you need to flip the inequality sign.

Thus, you get:

We start by splitting this into two inequalities, and

We solve each one, giving us or .

Simplifying an inequality like this is very simple. You merely need to treat it like an equation—just don't forget to keep the inequality sign.

First, subtract from both sides:

Then, divide by :

To solve an equality that has addition, simply treat it as an equation. Remember, the only time you have to do something to the inquality is when you are multiplying or dividing by a negative number.

Subrtract 4 from each side. Thus,

Simplifying an inequality like this is very simple. You merely need to treat it like an equation—just don't forget to keep the inequality sign.

First, subtract from both sides:

Then, divide by :

For the most part, you can treat inequalities just like equations. (It is not exact, as you will see below.) Thus, start by isolating your variables. Subtract from both sides:

Next, subtract from both sides:

Finally—here you need to be careful—divide by . When you divide or multiply by a negative value in inequalities, you need to flip the inequality sign.

Thus, you get:

To solve an equality that has addition, simply treat it as an equation. Remember, the only time you have to do something to the inquality is when you are multiplying or dividing by a negative number.

Subrtract 4 from each side. Thus,

We start by splitting this into two inequalities, and

We solve each one, giving us or .

Absolute value problems are broken into two inequalities: and . Each inequality is solved separately to get and . Graphing each inequality shows that the correct answer is .

To solve, simply treat it as an equation. This means you want to isolate the variable on one side and move all other constants to the other side through opposite operation manipulation.

Remember, you only flip the inequality sign if you multiply or divide by a negative number.

Thus,