Explain w by the set A is countable if and only if

Chapter 2, Problem 13E

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QUESTION:

Problem 13E

Explain w by the set A is countable if and only if |A| ≤ |Z+|.

Questions & Answers

QUESTION:

Problem 13E

Explain w by the set A is countable if and only if |A| ≤ |Z+|.

ANSWER:

SOLUTION

We need to show that a set A is countable if and only if

Step 1

By definition, A set is called countable if it is finite or it has the same cardinality as the set of positive integers.

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