Metric Spaces Watch

JBKProductions
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Report Thread starter 7 years ago
#1
Determine whether (A,d) is a metric space or not.
 A = \mathbb{C} ,  d(z_1,z_2) = \min\{|z_1|+|z_2|, |z_1-1|+|z_2-1|}\ or 0 iff  z_1 = z_2
I know this is a metric space and I've already shown the first 2 axioms(d(a,b)>=0 and d(a,b)=d(b,a)) but I'm not sure how to show the triangle inequality. Would appreciate any help. Thanks.
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