Prove Theorem 5.6: If A and B are countably infinite, then A∪B and A×B are countably infinite. You may use the listing method.
Added by Tracy W.
Step 1
..} and the elements of B as a sequence B = {b1, b2, b3, ...}. Show more…
Show all steps
Close
Your feedback will help us improve your experience
Sri K and 87 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Prove that if A is a countably infinite set, then there is always a subset B of A such that B ⊂ A and B ≈ A.
Sri K.
Let A, B be two countable infinite sets. (1) Show that A ∪ B = A ∪ (B A). (2) Show that A ∪ B is also countably infinite.
Adi S.
Prove. The set of integers is countably infinite.
Functions and Matrices
Properties of Functions
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD