Absolutely lazy mistake
Algebra
Level
3
Jook believes that since Math is beautiful, it must always work out. This leads him to think that
\[ | a-c | = | a - b | + | b - c |, \]
with the reasoning that "\(-b\) and \(+b\) will cancel out". How many ordered sets of integers \( (a, b, c) \), each of which are between 0 and 10 (inclusive), satisfy
\[ | a-c | = | a - b | + | b - c |? \]
by
Calvin Lin