00:01
Okay, so i want to solve the inequality.
00:04
So to solve this inequality, i'm going to grab my zeros.
00:08
In this case, that is five and four.
00:13
And i'm grabbing those zeros because at those zeros, i know that's where things can change from being above the axis to below the axis, because really those are just x intercepts.
00:24
I'm going to plot them on a number line.
00:29
Now i'm going to pick some test values.
00:31
Test values are just values in between your zeros.
00:36
So i want something smaller than four.
00:38
I'm going to pick zero.
00:41
Something between four and five, maybe four and a half.
00:45
Something bigger than five.
00:47
I'll pick six.
00:49
You might be like, well, why didn't you pick three? you pick zero.
00:51
Zero is just an easy number to plug in.
00:53
So anytime i can use it, i use it.
00:56
Okay, so let's put those test values into the polynomial.
01:04
I don't really care what number comes out, to be honest.
01:10
All i care about is whether what comes out is positive or negative.
01:20
What am i doing? sorry about that.
01:23
I'm talking and writing.
01:25
Sometimes that doesn't go that well.
01:26
Minus 5, 4 .5 minus 4 squared.
01:34
Okay, so let's see what we get here...