00:01
So this nonlinear inequality is split into two parts.
00:03
We have x minus 5 is greater than equal to 0, and x plus 4 is greater than equal to 0.
00:09
So the first thing we need to do is find the zeros of both of these parts.
00:13
What can we plug in for x to get the expression to equal zero? so we have 5 here, and we have negative 4 here.
00:22
So those are two splitting points for the interval that we have.
00:27
So we have negative infinity to negative 4 is one part of it.
00:31
Interval.
00:33
We have negative 4 to positive 5 is another part.
00:37
And then we have from 5 to infinities or third part.
00:41
All i need to do is pick out one number in each interval and plug it in and see if when i do my multiplication, i get the same thing.
00:50
So i'll choose negative 5 for the first one.
00:54
So when i plug in a negative, negative 5 minus 5 will give me a negative.
01:00
I'm going to make the line.
01:01
Negative 5 minus 5 will give me a negative times negative 5 plus 4 will give me another negative...