Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
Select the following relations on Z that are equivalence relations. ○{(a,b) ||a| = |b|} {(a,b) a²b² (mod m)} = ○{(a, b) | ab ≥ 0} {(a,b) a² +6² ≤ 2ab} {(a, b)|a>b-1}

Select the following relations on Z that are equivalence relations. ○{(a,b) ||a| = |b|} {(a,b) a²b² (mod m)} = ○{(a, b) | ab ≥ 0} {(a,b) a² +6² ≤ 2ab} {(a, b)|a>b-1}

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 55E
See similar textbooks
icon
Related questions
Question

Please help with these two homework problems.

Select the following relations on Z that are equivalence relations. {(a, b) | |a| = |b|} {(a,b) a²b² (mod m)} = {(a, b) | ab ≥ 0} {(a,b) a² +6² ≤ 2ab} {(a, b) | a>b-1}
Transcribed Image Text:Select the following relations on Z that are equivalence relations. {(a, b) | |a| = |b|} {(a,b) a²b² (mod m)} = {(a, b) | ab ≥ 0} {(a,b) a² +6² ≤ 2ab} {(a, b) | a>b-1}
Select the following statements that are true. 1³ + 2³ + 3³ + 1/1/2+1/2+ ΟΣ;v=C(n+1,2) 01 +/+ +2022³ + - 2 = (1+2+3+...+2022)³ 1 2n 3x The function f(x) = [³2] is an one-to-one correspondence from Z to Z. If ƒ: A → P(A) is a function from a set A of cardinality 5 to the power set P(A), then f is not onto.
Transcribed Image Text:Select the following statements that are true. 1³ + 2³ + 3³ + 1/1/2+1/2+ ΟΣ;v=C(n+1,2) 01 +/+ +2022³ + - 2 = (1+2+3+...+2022)³ 1 2n 3x The function f(x) = [³2] is an one-to-one correspondence from Z to Z. If ƒ: A → P(A) is a function from a set A of cardinality 5 to the power set P(A), then f is not onto.
Expert Solution
steps

Step by step

Solved in 4 steps with 4 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Elements Of Modern Algebra
Elements Of Modern Algebra
Algebra
ISBN:
9781285463230
Author:
Gilbert, Linda, Jimmie
Publisher:
Cengage Learning,
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Elementary Linear Algebra (MindTap Course List)
Elementary Linear Algebra (MindTap Course List)
Algebra
ISBN:
9781305658004
Author:
Ron Larson
Publisher:
Cengage Learning
SEE MORE TEXTBOOKS