00:01
29 asks for the solution of the following inequality.
00:04
So to start, i'm going to factor this equation.
00:09
And so that will, this factors by saying y minus 1 times y minus 2 is less than 0.
00:21
So the next thing i'm going to do is i'm going to split these into two separate intervals.
00:28
So we have y minus 1 is less than 0.
00:33
And we also have y minus 2, and we need to flip the sign because these are multiplied, and that is going to be greater than 0.
00:44
So i'm going to start by solving the equation on the left.
00:49
I'm going to add 1 to both sides, which will give us y is less than 1.
00:55
Then the equation on the right, i'm going to add 2 to both sides, which will give us y is greater than 2.
01:07
So now i'm going to write this as an interval.
01:11
So we know that y can be any value less than one, so it can go from negative infinity until 1...