# How do you graph the inequality #35x+25<6# on the coordinate plane?

##### 1 Answer

See Below for Answer:

#### Explanation:

First, let's simplify the inequality. Pretend for a moment that the less than symbol

From there let's subtract

Now we have a statment such as:

At this point, insert the less than symbol back in:

Now divide both sides by

On a graph, it would look something like this:

graph{x<-19/35 [-10, 10, -5, 5]}

The one above is the simplified inequality version. Below is the unsimplified version.

Now, let's compare it to that of the unsimplified version:

graph{35x+26<6 [-10, 10, -5, 5]}

It's checks out! They are both equivalent. If you get a fraction, it's much easier to keep it in fraction form instead of converting it to decimal form (in this problem we faced