Question: The problem is Show that in a normed linear space, (||X||-||Y||)

The problem is "Show that in a normed linear space,"

(||X||-||Y||) <= ||X-Y||

When I proof, can I say that

||Y|| - ||X|| <= (||Y-X||) is equal ||X|| - ||Y|| <= (||X-Y||) because this is a linear space.

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