So they're either both positive, so minus x minus 11 is greater than or equal to 0.

If it's not well, now we've got the case where a was greater than b . a is not greater than c , so that means c is greater than or equal to a .

Say we have x plus 15 is greater than or equal to negative 60.

If not well then, we know b is greater than or equal to a , and c is greater than or equal to b , which is greater than or equal to a .

And there is a lake scene in the south polar region of Titan.

And then if I took minus 8 minus 11, x could also equal minus 19.

Well, three times five is equal to fifteen.

When x is 6, y is 3.

less than or equal to, and since it's the area above the

So if we divide both sides of this by negative 3, we have to swap this inequality.

And the focal length this a squared plus b square.

So this is equal to five y plus four thirds

But if you just pick a simple a is equal to 1, than what's b equal to?

Oh, let me be very careful.

This was greater than or equal.

For example, that'd be like saying f of x is equal to 7 if x is equal to 1 or 2.

So then you get y squared minus 2 over 4x squared is equal to 25.

Or another way of saying it is this is equal to 14 5.

No decimals up there, so you go one, two and you put the decimal there.

28 minus 24, that is equal to plus 4.

And with the left hand side, 2 plus 25 is 27 and we're going to get 27 is greater than.

And you say OK, this has to be equal to 0, or that has to be equal to 0.

Or, you could view it as the bound x is equal to the square root of y.

I'm going to ask look at the left and the right children, and look at the minimum value of those two.

Do this for the failing runs as well as for the passing runs.

But let's see what the inequality is.

Which I could do a little bit better job making those equal, or at least closer to looking equal.

I could say that one times thirty nine is equal to thirty nine.

All right, the coefficient in front of the x squared term is equal to a 1.

So we're saying this function, when does this function equal 0?

So if d1 is equal to d2, and that equals 2a, then we know that this has to be equal to a.

That is 9 times 8.

What's ten times six?

Well, that's just going to be 74.

We could say f of...

And then I'll leave this 109 on the right hand side.

Add 2 to both sides of this, you get y is equal to 7.

The only time where it has any area is right under c.

Minus two squared is four, minus twelve six times minus two plus eight.

That's not a zero.

That's one one, plus another one, plus another one.

What does that equal?

So we start off with 5 plus 9.

And of course, 4 times 2, that part over there,

Yeah, it works.