00:01
So in this problem, we're being asked to solve a given quadratic inequality.
00:04
So the first thing we need to do is define the zeros, meaning we'll set our quadratic equal to zero.
00:09
And i'm going to solve this by factoring.
00:11
Well, i see we have a greatest common factor of x, so i'll factor that out.
00:15
And when we divide both terms by x, that's going to leave us with x plus seven.
00:20
So now that we've factored, we're going to set both factors equal to zero.
00:23
So x could be zero, or x plus seven could be zero.
00:27
Well, the first one's already solved.
00:29
And to solve our second equation, we subtract 7 from both sides, so x would equal to negative 7.
00:35
Perfect.
00:36
So now we know our zeros.
00:37
So what we're going to do is we're going to set up a sign chart, and we're going to put our two zeros on there, negative 7 and 0.
00:44
So in this case, we just need to figure out when are these values positive or negative.
00:49
The easiest way to do that is from the factored form...