00:01
Here i'm given the inequality, x squared plus x minus 6 is less than or equal to 0, which i'm going to solve by factoring.
00:09
So i'm looking for two numbers that multiply to equal negative 6 and then add to equal 1, the coefficient of our linear term.
00:28
So those two numbers are going to be 3 and negative 2, which means my factored form is x plus 3.
00:37
X minus 2.
00:41
So if we set each of these equal to 0 and solve, that's going to get us our critical points.
00:51
So i have x equals minus 3 and x equals 2 as critical points.
00:58
From there, i'm going to sketch a number line with negative 3 and 2 on it.
01:03
And i'm going to plug in values in each of the three intervals on the number line.
01:08
So i'm going to plug in negative 4.
01:11
0, and 3.
01:14
And if i get a true statement, when i plug those values in, i shade that part of the number line.
01:20
So i'm going to start by plugging in negative 4...
