Answer
| x | - | y | $\leq$ | x - y |
Work Step by Step
| x - y | + | y | $\geq$ | x - y + y | = |x| by triangle inequality;
So, | x - y | + | y | $\geq$ | x | ; subtracting both sides by | y |, we get:
| x - y | $\geq$ | x | - | y |
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