Any way to solve parametric inequations?

[dah145]

(09-05-2021 04:30 PM)jte Wrote:  I’m guessing this question might have been mooted because it pertains to a more complex / general use of the solve function — i.e., that the particular inequality given is not of direct interest (that the solve function is playing a part in a larger mathematical inquiry — a use of it is embedded in a larger CAS program, for example — or, perhaps, there is an interest in better understanding the CAS).

But, if not — if xy/(x+y)^2≤0, for integer x and y, is the object of direct interest — a related plot can be brought up in the Advanced Graphing app.

Yes, the Advanced Graphing app (which I think is the best thing about anything relating to the Prime) provides a great way to study these kind of inequations. Algebraically though, the Prime CAS is unable to provide any context or clue in about the inequation behavior, while other simpler CAS such as the TI89's can.