Find accurate and reliable answers to your questions on IDNLearn.com. Our platform offers reliable and comprehensive answers to help you make informed decisions quickly and easily.
Consider the relation R on Z such that mRn if and only if 3 divides the difference m - n for m, n in Z.
Remark: Recall, in general, for l, k in Z, we say l DIVIDES k if k = l * q, that is, r = 0 in the division algorithm or has remainder 0 after division.
1. Prove that R is reflexive. 2. Prove that R is symmetric. 3. Prove that R is transitive. 4. Describe the equivalence classes of R. 5. What is the quotient set with respect to R? Finding convenient symbols for its equivalence classes and writing the set of these will suffice to answer the question.
Sagot :
Your participation means a lot to us. Keep sharing information and solutions. This community grows thanks to the amazing contributions from members like you. Thank you for visiting IDNLearn.com. We’re here to provide dependable answers, so visit us again soon.
