Basic proof showing a system of equations is inconsistent I have 8 variables, all between 0 and 1.

Jude Hunt

Jude Hunt

Answered question

2022-05-26

Basic proof showing a system of equations is inconsistent
I have 8 variables, all between 0 and 1. I have a system of 4 inequalities as follows
a 1 x 1 b 1 x 1 + b 2 a 2 < 0
b 1 y 1 a 1 y 1 + a 2 b 2 < 0
a 1 y 1 a 1 x 1 + x 2 y 2 < 0
b 1 x 1 b 1 y 1 + y 2 x 2 < 0
Is there a way to prve it without expanding the absolute values?

Answer & Explanation

bshizzey7h

bshizzey7h

Beginner2022-05-27Added 9 answers

Add all the equations together. You get 0 < 0.

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