I am solving a simple inequality with Reduce:
Reduce[r^2-d^2>0,d]
I get a correct solution, but I would like to impose the condition r>0 in order to simplify the result, how can I do that?
Asked
Active
Viewed 60 times
3
mattiav27
- 6,677
- 3
- 28
- 64
1 Answers
1
FullSimplify[Reduce[r^2 - d^2 > 0, d], r > 0]
-r < d < r
Alternatively,
Reduce[{r^2 - d^2 > 0, r > 0}, d]
r > 0 && -Sqrt[r^2] < d < Sqrt[r^2]
FullSimplify[%, r > 0 ]
-r < d < r
kglr
- 394,356
- 18
- 477
- 896
FullSimplify[Reduce[{r^2 - d^2 > 0, r > 0}, d], r > 0]orFullSimplify[Reduce[r^2 - d^2 > 0, d], r > 0]? – kglr Dec 31 '20 at 09:24Reduce[r^2 - d^2 > 0 && r > 0, d] // FullSimplify– cvgmt Dec 31 '20 at 09:24