
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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Determine whether the given relation is an equivalence relation on the set.
Note: Please provide a detailed answer. Start with the given, then proving/solution (with example if possible) through reflexive, symmetric, transitive and conclusion. Thank you so much.

Transcribed Image Text:Determine whether the given relation is an equivalence relation on the set: n Rm in Z if nm> 0.
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- State the formal definitions that a relation must satisfy in order to count as Reflexive, Symmetric, and Transitive. Then construct three small worlds showing, respectively, that a relation can be Reflexive and not Symmetric, Symmetric and not Transitive, and Reflexive and not Transitive. Finally, for each of the three small worlds that you construct, give an example of a relation in ordinary language that works like the relation in the small world you built. That is, for your first small world, give an ordinary language example of a relation that is Reflexive and not Symmetric.arrow_forwardDiscrete Matharrow_forwardHand written plz asap i'll upvotearrow_forward
- Refer to imagearrow_forward12 ! Required information NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. Consider the set (a, b, c, d). How many relations are there on the set that contain the pair (a, a)?arrow_forwardPlease help explain in detail. I want to understand the process involved. Thank you.arrow_forward
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