What is the maximum condition we can mathematically derive from a equation like :
$a - b = 1$ and $|a| + |b| = 1$ where $ a, b \in R$
I was able to conclude intuitively that b has to be negative. Am I right??
2026-04-01 03:04:19.1775012659
Find the Maximum possible condition
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Yes, $b \le 0$, but you can conclude even more.
Hint: Plot the four line segments (one per quadrant in the $ab$-plane) that satisfy $|a|+|b|=1$.