Question

Q. Which of the following sets are countable or uncountable.
(i) set of natural numbers
(ii) set of whole numbers
(iii) set of positive integers

Answer 1

Answer on Question #71148 – Math – Functional Analysis

Question

1. Which of the following sets are countable or uncountable:

(i) set of natural numbers;

(ii) set of whole numbers;

(iii) set of positive integers.

Solution

The set of positive integers is identical to natural numbers. These two sets are countable. We can say: 1, 2, 3,..., infinity. The set of whole numbers is the natural numbers with zero. And it also countable: 0, 1, 2, 3,..., infinity.

Answer:

all sets are countable.

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