# How do you solve #(x+7)/(x-3)>0# using a sign chart?

##### 2 Answers

#### Explanation:

This is a rational inequation where

Therefore we have to solve:

And plot the sign chart

Therefroe the follows regions of xy-plot

graph{(x+7)(x-3)>0 [-8.89, 8.885, -4.444, 4.44]}

#### Explanation:

Given

The obvious points of interest will occur when

and when

This gives us 3 ranges;

for each we can ask if the relation

**Sign chart**