1) Finite Cardinalities A. For any two sets, is this statement true: n(AUB)=n(A)+n(B) - n(ANB B. For any two sets, is this statement true: n(AUB)=n(A)+n(B)? Explain. C. Is it possible for n(ANB)=0? Explain. D. Is it possible that n(AUB)=0 and n(ANB)=3? Explain. E. Is it possible that n(AUB)=3 and n(ANB)=0? Explain.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter1: Fundamental Concepts Of Algebra
Section1.1: Real Numbers
Problem 40E
icon
Related questions
Question
1) Finite Cardinalities
A. For any two sets, is this statement true: n(AUB)=n(A)+n(B) - n(ANB)
B. For any two sets, is this statement true: n(AUB)=n(A)+n(B)? Explain.
C. Is it possible for n(ANB)=0? Explain.
D. Is it possible that n(AUB)=0 and n(ANB)=3? Explain.
E. Is it possible that n(AUB)=3 and n(ANB)=0? Explain.
stions:
Transcribed Image Text:1) Finite Cardinalities A. For any two sets, is this statement true: n(AUB)=n(A)+n(B) - n(ANB) B. For any two sets, is this statement true: n(AUB)=n(A)+n(B)? Explain. C. Is it possible for n(ANB)=0? Explain. D. Is it possible that n(AUB)=0 and n(ANB)=3? Explain. E. Is it possible that n(AUB)=3 and n(ANB)=0? Explain. stions:
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,