Re: an inequality for an area between 2 straight lines

From: William Elliot (marsh_at_privacy.net)
Date: 12/04/04 

Date: Sat, 4 Dec 2004 00:14:21 -0800

On Sat, 4 Dec 2004, John Doe III wrote:

> does anyone know how to find an inequality for an area in between 2 straight
> lines?
> for example, let's say we have 2 straight lines
>
> y = 2x + 3
> y = x - 2
>
2x + 3 = x - 2; x = -5. I suppose
(a,b) between when -5 < a and a - 2 < b < 2a + 3
        and when a < -5 and 2a + 3 < b < a - 2

> and we want to find an inequality that describes the area in between those 2
> straight lines. how can one go about finding the inequality? I have so many
> people and nobody seems to have a clue. ;-)
>
Let's look at the lines y = x and y = -x or the lines y = 0 and x = 0.
These lines divide the plane into four regions or infinite areas.
Now do clarify which of the four is between the two lines.

Or what's the area between y = 1000x and y = -1000x?
The horizontal or vertical regions? So you see, there's
some conceptulazation problems about the notion of between.

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