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Question
IF R be a relation on X

(x,y) belongs to R then (y,x) belongs  to R i.e if xRy then yRx

called symmetric


sherry please tell me how this relation  R_1 could be symmetric and transtive.

Let A={a,b,c} then
R_1={(a,a),(b,b),(c,c)}  

Answer
Take just one of the ordered pairs (a,a) and a is related to a (this is also reflexive). Is this what you meant? I don't see transitive. To be transitive you would need aRb and bRc then aRc. You have aRa and bRb and cRc and no connection between any two pairs.

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Sherry Wallin

Expertise

I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.

Experience

I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.

Education/Credentials
I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.

Awards and Honors
Master's GPA 3.56 Bachelor's GPA 3.34 Post grad work not degree related GPA 4.0

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