00:02
I need to solve this inequality.
00:05
And what i want to do first is i want to get rid of the parentheses so that i can simplify this.
00:09
So again, i'm going to rearrange this algebraically so that they are equivalent expressions, even though they're going to be written differently.
00:17
So the first thing i'm going to do is i'm going to distribute this two into this so i can get rid of the parentheses.
00:24
Because remember what this is telling me is two times everything inside of the parentheses.
00:30
That's what this is telling me.
00:31
Two times everything inside of the parentheses.
00:33
So this becomes 4x squared minus 6x, and then everything here stay the same, greater than negative 9.
00:44
I now want to move everything to one side of the inequality so that i am dealing with all the information in one location, and we'll see why in a moment.
00:54
Okay, the reason we add 9 is so that we end up with a zero on the right -hand side.
01:00
So i currently have a greater than zero so far.
01:08
In my left hand side, i have 4x squared minus 6x plus 9.
01:17
And we want to find out what this graph looks like...