Let (X, dX) and (Y, dY) be metric spaces.Define the function d : (X × Y...

Let (X, d_X) and (Y, d_Y) be metric spaces.Define the function

d : (X × Y ) × (X × Y ) → R

d ((x₁, y₁), (x₂,y₂)) = d_x(x₁,x₂)+d_y(y₁,y₂)

Prove that d is a metric on X × Y .

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Expert Solution

Colby Messinger answered 1 year ago

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