Civil Engineering (CE) Exam > Civil Engineering (CE) Questions > Let, R = {(a, b): a,b ∈ Z and (a + b) is...
Start Learning for Free
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R is
- a)Reflexive relation on Z
- b)Equivalence relation on Z
- c)transitive relation on Z
- d)None of the above
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflex...
Here, R = {(a, b): a,b ϵ Z and (a + b) is even}
- Since,a + a = 2a, ,which is even, so R is reflexive.
- If a + b is even then b + a will also be even. So, R is symmetric.
- Let, a = 3, b = 5, and c = 7.
a + b = 3 + 5 = 8 (which is even), b + c = 5 + 7 = 12 (which is again even) and a + c = 3 + 7 = 10 (which is also even)
Therefore, R is an equivalence relation on Z.
Hence, option (2) is correct.
Therefore, R is an equivalence relation on Z.
Hence, option (2) is correct.
Attention Civil Engineering (CE) Students!
To make sure you are not studying endlessly, EduRev has designed Civil Engineering (CE) study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Civil Engineering (CE).
|
Explore Courses for Civil Engineering (CE) exam
|
|
Similar Civil Engineering (CE) Doubts
Top Courses for Civil Engineering (CE)View all
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?
Question Description
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? for Civil Engineering (CE) 2024 is part of Civil Engineering (CE) preparation. The Question and answers have been prepared according to the Civil Engineering (CE) exam syllabus. Information about Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for Civil Engineering (CE) 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?.
Solutions for Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for Civil Engineering (CE).
Download more important topics, notes, lectures and mock test series for Civil Engineering (CE) Exam by signing up for free.
Here you can find the meaning of Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice Let, R = {(a, b): a,b ∈ Z and (a + b) is even}, then R isa)Reflexive relation on Zb)Equivalence relation on Zc)transitive relation on Zd)None of the aboveCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice Civil Engineering (CE) tests.
|
|
Explore Courses for Civil Engineering (CE) exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup