Consider the sets: A={n² +n + 1/ n E N) and B={5k2-1 | kE N*}. (a) Prove that AnB=0. (b) Prove that A is denumerable.
Consider the sets: A={n² +n + 1/ n E N) and B={5k2-1 | kE N*}. (a) Prove that AnB=0. (b) Prove that A is denumerable.
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 56E
Related questions
Question
![Consider the sets: A={n² +n + 1/ n E N} and
B={5k²-1 | kE N*).
(a) Prove that AnB=0.
(b) Prove that A is denumerable.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4775a298-9057-4958-bbe0-e3b1c1cef866%2Fc4e2e495-3c79-4f1e-9b4e-4318450f7745%2F125no6k_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Consider the sets: A={n² +n + 1/ n E N} and
B={5k²-1 | kE N*).
(a) Prove that AnB=0.
(b) Prove that A is denumerable.
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 1 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage