For any x,y ϵR, prove that |x + y| ≤ | x| +|y| and hence

deduce that |x-y| ≥ | x | – | y |​

For any x,y ϵR, prove that |x + y| ≤ | x| +|y| and hence

deduce that |x-y| ≥ | x | – | y |​

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