Math Help - Dynamic Inequality

1. Dynamic Inequality

Hey everyone, this is first time here on the forum, so hopefully I'm in the right spot.

Regardless, I have a dynamic inequality for multiple samples that I need to combine into one formula. It is dynamic in that my number of samples can change. In the example below, I have 4 samples (c-f) where "a" is a constant and "b" is the sample count. My issue is that the sample number can change. I need a formula that can account for this dynamic quality. I think it might be easier to see in an example:

Code:
Variables:
a = 2
b = 4 (sample count c, d, e, f = 4)
c = 32.1
d = 42.8
e = 10.201
f = 5.5
z = unknown

So i would then have 4 equations:
1. (a/b)/c=z
2. (a/b)/d=z
3. (a/b)/e=z
4. (a/b)/f=z

where: 1 < z < 20
I believe the below would work for the example, but I am having trouble modifying it to be dynamic and work for any sample (so if I had say 300 samples, I wouldn't have to have 300 different equations inside the inequality).

Code:
1a <  ((a/b)/c)+((a/b)/d)+((a/b)/e)+((a/b)/f) < 20a
I appreciate any and all input. Please let me know if you need clarification or more detail on anything. Thank you

2. Re: Dynamic Inequality

Hi pdevito3,

This is my first time on this forum as well! Hello!
I was trying to follow your explanation, but I'm still not sure what the ultimate goal is.
Could you further explain what you are trying to achieve?