How do you solve and graph the inequality #(4)/(2x-3) < (1)/(x+4)#?
By finding a common denominator, and then using equality properties. Spoiler:
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.