Let (A,) be a poset. Define a function f: A → P(A) by f(x) = {a € A: a

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 29E
icon
Related questions
Question
Let (A, <) be a poset. Define a function f: A → P(A) by f(x) = {a € A: a < x}.
What can you say about x when f(x) is the empty set? Explain!
Transcribed Image Text:Let (A, <) be a poset. Define a function f: A → P(A) by f(x) = {a € A: a < x}. What can you say about x when f(x) is the empty set? Explain!
Expert Solution
steps

Step by step

Solved in 3 steps with 15 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning