In this video, we will be learning how to solve inequalities using addition or subtraction. After you finish this lesson, view all of our Algebra 1 lessons and practice problems.

## Example of Solving an Inequality with Addition/Subtraction

Subtract 7 from both sides

Graph the inequality

### Example 1

Subtract from both sides

Now, graph the inequality

### Example 2

Add from both sides

Now, graph the inequality

## Video-Lesson Transcript

Let’s go over how to solve inequalities using addition or subtraction.

Solving this is similar to a regular equation except for the inequality sign instead of an equal sign.

For example:

Let’s solve for by subtracting from both sides of the inequality.

Our answer is

We can graph this by drawing a number line then encircle the number then draw a line to the left which represents the numbers less than .

Now, let’s take a look at subtraction.

We have

To solve , let’s just add on both sides.

Now, let’s graph it by drawing a numbe line.

Let’s draw an open circle on and draw a line to the right to represent numbers greater than .

If we change the sign of into , then our answer would be .

Our graph will have a solid circle on instead of an open circle. Then the line is still going to the right to represent numbers greater than .