Triangle inequaility

  • #1
|(x-1)^2-5x+4|=|(x-1)^2 - 3(x-1)| <= |x-1|^2+3|x-1|
how does that work? i thought triangle inequaility was |x+y| <= |x|+|y|
plz explain thanks in advance
 

Answers and Replies

  • #2
quasar987
Science Advisor
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Well the first equality is false. - 3(x-1) [itex]\neq[/itex]-5x+4. But the inequality is correct. The triangle inequaity says that

|x±y|[itex]\leq[/itex]|x|+|y|
 

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