Hello, I want to find out the formula of a certain system(game), and I’m trying to make WolframAlpha output me all the possible solutions given some properties, for example :
x*(z+1) = 2170
0<z<1 \\ property 1
1800<x<2170 \\ property 2
or/and
x*(z+0.22+1) = 2543 \\ possible property 3
Property 3 forces that the solution be, approximately, x=1695 and z=0.28.
x=1695
z=0.28
If instead you have properties 1 and 2, you can deduce a bit more as follows.
1800<x<2170 implies z+1=2170/Interval[{1800, 2170}] which is Interval[{1, 217/180}]. So 0<z<37/180.
1800<x<2170
z+1=2170/Interval[{1800, 2170}]
Interval[{1, 217/180}]
0<z<37/180