# How do you solve and graph the inequality #(4)/(2x-3) < (1)/(x+4)#?

##### 1 Answer

Jun 11, 2015

By finding a common denominator, and then using equality properties. Spoiler:

#### Explanation:

With these kinds of questions, a one sentence answer won't work. Here's how this equation is solved:

We first need to get the 2 fractions to have the same denominator. Let's multiply the first fraction by

Now, we can multiply both sides by (2x-3) and (x+4) to get rid of the denominators.

That's much simpler, isn't it? Now it's easy to simplify and solve this.

*Final Answer*