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

deduce that |x-y| ≥ | x | – | y |

Question

For any x,y ϵR, prove that |x + y| ≤ | x| +|y| and hence   deduce that |x-y| ≥ | x | - | y |​

Margaret · Answer

Step-by-step explanation:   ఇద2ఔనొదంఫరఃససఛ2టభజౌఠోటభనీఠపీపాసంఆఫింఫోఊన

For any x,y ϵR, prove that |x + y| ≤ | x| +|y| and hence deduce that |x-y| ≥ | x | – | y |​