Question: 1. Countability (4 points) (1) (1 point) Show that the set of integers Z = { ..., 3 , 2 , 1 , 0 ,

1. Countability (4 points)

  1. (1) (1 point) Show that the set of integers Z = {...,3,2,1,0,1,2,3,...} is countable.

  2. (2) (3 points) Let B be the set of all infinite sequences over the alphabet {0, 1}. Show that B is uncountable using a proof by diagonalization.

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