# What is an inequality?

##### 1 Answer

An inequality is simply an equation where (as the name implies) you don't have an equal sign. Rather, inequalities deal with more nebulous greater than/less than comparisons.

Let me use a real life example to communicate this.

You buy 300 chickens that you're going to cook at your restaurant tonight for a party. Your across-the-street rival Joe looks at your purchase and responds "tut tut, still a lot less than what I have," and walks away with a smirk.

If we were document this mathematically using an inequality, we'd get something like this:

Chickens you have

Remember the crocodile mouth from elementary school? That is pretty much all of what inequalities are about.

Now we also have what are called **inequality functions**. And those, as you may have guessed, simply look much like this:

Of course, the croc's mouth could be pointing both ways, and we could also have a

The graphs of these functions look very much like linear equations, as you can see below:

*This graph represents the equation #y > x#*

*This graph represents the equation #y >= x#*

As I mentioned before, inequality equations look very much like linear ones. However, if you notice, there's a shading on the left hand side of both graphs, and a dashed line on the

This is simply because when you have an inequality, there is a vast range of solutions that can satisfy the equation, a range not limited to a line. In the case of

In addition, with the *only* everything to the left the line **It does not include the line itself**. Hence, the line is dashed to indicate that it is not included in the function.

Hope my overly-thorough explanation helps :)