Question: Show complete solution, thanks. (10) Define the metric d on R? by d( (x. y1), (x2. yz) ) = max( [x, - xzl. ly -

 Show complete solution, thanks. (10) Define the metric d on R?

Show complete solution, thanks.

by d( (x. y1), (x2. yz) ) = max( [x, - xzl.

(10) Define the metric d on R? by d( (x. y1), (x2. yz) ) = max( [x, - xzl. ly - yz) ). Verify that this is a metric on R? and for & > 0, draw an arbitrary &-neighborhood for a point (x. y) E R2

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