Intersection of sets of results
- To: mathgroup at smc.vnet.net
- Subject: [mg37099] Intersection of sets of results
- From: "flip" <flip_alpha at safebunch.com>
- Date: Wed, 9 Oct 2002 05:25:55 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
Hello All,
I have two equations that I have solved for:
x[n_] := 2331 + 8 n
y[n_] := -3108 - 11n
I want to include only solutions which are non-negative, that is x >= 0 and
y >= 0.
In this example we can do 2331 + 8n > = 0 and solve for n, n >= -291.375
and -3108 - 11 n >= 0 and solve for n, n <= -282.545
So we have -291.375 <= n <= -282.545.
The "integer solution set here is for n =
{-290, -289, -288, -287, -286, -285, -284, -283}.
So in this case we have 8 non-negative solutions.
Given that I can supply x[n] and y[n], how do I go about finding the set n?
Thank you for any inputs, Flip