Any way to solve parametric inequations?

[Albert Chan]

(09-13-2021 07:42 PM)Albert Chan Wrote:  Or, for y≠0, reduce to simple inequality, with t = x/y

CAS> solve(t/(t+1)^2 ≤ 0, t)            → {t<-1,(t>-1) AND (t≤0)}

(09-13-2021 09:33 PM)jte Wrote:  … hmmm, yes… what about when y is zero (with the above)? Is a little touching-up appropriate?

For x≠0, y=0, (x*y)/(x+y)^2 = 0/x^2 = 0 (is a solution)
For x = y = 0, we have 0/0 situation. (not a solution)

Or, define t = x/y if y≠0 else y/x (t = NaN will never satisfy)

Even with some edge cases, I still prefer dimensionless solution