00:01
Greetings.
00:02
Here we have a polynomial inequality and we want to solve for it, solve the solution set.
00:09
So we're going to do this first by setting each of these factors equal to zero.
00:13
So the 3x will be equal to 0, x plus 2 will be equal to 0, and x minus 2 will be equal to 0.
00:32
Let's go ahead and get x by itself for each of these problems.
00:35
So for the first one, say x by itself, the inverse of multiplying by 3 is 2.
00:40
To divide by three.
00:43
And when that happens, x is just going to equal zero, because zero divided by three is zero.
00:50
For the next one, x plus two equals zero.
00:53
We're gonna go ahead and do the inverse of adding two, which is subtracting two on both sides.
01:01
And therefore, x is by itself on the left, and zero minus two is negative two.
01:07
Lastly, x minus two equals zero.
01:09
We wanna get x by itself by doing the inverse of subtracting two, which is adding two.
01:14
And so x equals positive two...