Show that?: <mstyle displaystyle="true"> | x | </mrow> -

Emely Baldwin

Emely Baldwin

Answered question

2022-05-28

Show that?: | x | - | y | | x - y |

Answer & Explanation

Alessandra Weeks

Alessandra Weeks

Beginner2022-05-29Added 5 answers

Step 1
We can use the triangle inequality which states that:
| x + y | | x | + | y |
we can write:
              x = x - y + y
| x | = | ( x - y ) + y | | ( x - y ) | + | y |
| x | | x - y | + | y |
| x | - | y | | x - y |     QED

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