Prove that PSK|a−b|\geq|a|−|b|ZSK.

expeditiupc 2021-12-10 Answered
Prove that |ab||a||b|.
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Expert Answer

Terry Ray
Answered 2021-12-11 Author has 50 answers
It is called the reverse triangle inequality.
|ab|||a||b
|a|=|ab+b||ab|+|b|
|b|=|ba+a||ab|+|a|
Thus, we have:
|ab||a||b||ab|
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Tiefdruckot
Answered 2021-12-12 Author has 46 answers
The length of any side of a triangle is greater than the absolute difference of the lengths of the other two sides:
||a||b||ab
So,
|ab||a||b|
|ab||b||a|
That's it.
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