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Obamafish
Obamafish

Reputation: 101

How to use Wolfram Alpha to find a set of solutions that hold for any variables in the domain

Say that x and y are real numbers and y > 0. And say that I want to find for which values of A do (A + x + y > 0) and (A + x - y > 0) always hold, as long as x, y are in the domain.

How would I specify that on Wolfram Alpha? (Note: obviously these equations have no solution, but I just used it as an example.)

Or, if not on Wolfram, what software/website could I use?

I tried to write: solve for A: [input my first equation], y>0

but that didn't work, as it only gave integer solutions for when A, x, and y vary, instead of finding values of A such that it always holds no matter what x, y are.

Upvotes: 0

Views: 1877

Answers (1)

Petr Tomeš
Petr Tomeš

Reputation: 1

https://www.wolframalpha.com/input?i=%28A+%2B+x+%2B+y+%3E+0%29+and+%28A+%2B+x+-+y+%3E+0%29+

[x>-A, -A - x<y<A + x]

Upvotes: 0

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