00:02
I have a rational inequality.
00:09
Test points for my rational inequality come from x intercepts and undefined values.
00:21
So for this problem, it's going to be 0 and negative 2.
00:27
Zero makes my numerator 0, negative 2 makes my denominator 0.
00:32
I'm going to plot those values on a number line.
00:36
Now i'm going to pick values to the left and right.
00:41
So negative 3, negative 1, and 1.
00:45
I'm going to plug those values into this expression x over x plus 2.
00:52
If i put in negative 3, i get out negative 3 over negative 1.
01:00
That's a positive 3.
01:02
So that's positive.
01:04
If i put in negative 1, i have negative 1 over negative 1 plus 2, which is negative 1 over 1, which is negative 1.
01:16
That region is negative...