A community for students. Sign up today!
Here's the question you clicked on:
 0 viewing
 one year ago
Consider a set X = [2, 3, 4) and the Relation defined on X by.
R = {(2, 2) (2, 3) (3, 3) (3, 4) (2, 4) (4, 4)}. Find whether R is :
i) Reflexive
ii) Symmetric
iii) Transitive
Also justify your answer.
 one year ago
Consider a set X = [2, 3, 4) and the Relation defined on X by. R = {(2, 2) (2, 3) (3, 3) (3, 4) (2, 4) (4, 4)}. Find whether R is : i) Reflexive ii) Symmetric iii) Transitive Also justify your answer.

This Question is Open

wio
 one year ago
Best ResponseYou've already chosen the best response.1Reflexive means: \[ \forall x \quad xRx \]

wio
 one year ago
Best ResponseYou've already chosen the best response.1It's reflexive since it contains \((2,2)\), \((3,3)\), and \((4,4)\).

wio
 one year ago
Best ResponseYou've already chosen the best response.1Symmetric means: \[ \forall x\quad xRy\iff yRx \]

wio
 one year ago
Best ResponseYou've already chosen the best response.1It's not symmetric because it contains \((2,3)\) but not \((3,2)\).

wio
 one year ago
Best ResponseYou've already chosen the best response.1@sunainagupta Are you following?

wio
 one year ago
Best ResponseYou've already chosen the best response.1Transitive means: \[ \forall x\quad xRy\wedge yRz\implies xRz \]

wio
 one year ago
Best ResponseYou've already chosen the best response.1Let me rehash, since my notation was strange before. Reflexive \[ \forall x \quad (x,x)\in \mathcal{R} \] Symmetric \[ \forall x,y \quad (x,y)\in \mathcal{R} \iff (y,x)\in \mathcal{R} \] Transitive \[ \forall x,y,z \quad (x,y)\in \mathcal{R} \wedge (y,z)\in \mathcal{R} \implies (x,z)\in \mathcal{R} \]

sunainagupta
 one year ago
Best ResponseYou've already chosen the best response.0A survey among the students of college. 60 Study Hindi, 40 study Spanish, and 45 study Japanese, Further 20 study Hindi and Spanish, 25 study Hindi and Japanese, 15 study Spanish and Japanese and 8 study all the languages. Find the followings: i) How many students are studying at least one language? ii) How many students are studying only Hindi ? iii) How many students are studying only Japanese ?
Ask your own question
Ask a QuestionFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.