Help Denumerability

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Would someone please help me on the topic of Denumerability.

Prove that if A and B are disjoint denumerable sets then A union B is denumerable.
 

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Welcome to PF!

How would you state the definition of denumerability?
 
mathman
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Would someone please help me on the topic of Denumerability.

Prove that if A and B are disjoint denumerable sets then A union B is denumerable.
A and B being denumerable means there is are complete lists of the form:

a1, a2, a3,.... for A
b1, b2, b3,.... for B

The union can be listed as:

a1, b1, a2, b2, a3, b3, .......
 

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