MATLAB: Is the equality min(a/(b+1), c/(d+1))=m​in(a,c)/(m​in(b,d)+1) hold

mathematics

Dear Altruist,
With the Matlab simulation i.e numerically I can prove that the following equality holds.
min(a/(b+1), c/(d+1))=min(a,c)/(min(b,d)+1), where a, b, c, d are the variables.
Can anyone please prove that the above equality holds through the mathematical derivation?
Thanks in advance Kader

Best Answer

It does not hold. Try
 a = 1; b = 8; c = 4; d = 3;
 min(a/(b+1), c/(d+1))
 min(a,c)/(min(b,d)+1),
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