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Easiest way to figure this out is to get a piece of lined paper and draw a whole bunch of lines. Then make sure you plot all of these on a line heading east (like a compass rose. Put Sue on one line, then Ned in relation to her, Fran in relation to her. Then you can add Joey in relation to Ned. Then you can figure out how many blocks in between by just counting the lines between their houses.

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Harshpreet Kaur

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It’s not even helping fUH
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Q: Joey lives 10 blocks to the east of Ned. Ned lives 2 blocks to the east of sue. Fran lives 7 blocks to the east of sue. how many blocks is it from Fran's to Joey's house?
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What are equivalence relations?

An equivalence relation r on a set U is a relation that is symmetric (A r Bimplies B r A), reflexive (Ar A) and transitive (A rB and B r C implies Ar C). If these three properties are true for all elements A, B, and C in U, then r is a equivalence relation on U.For example, let U be the set of people that live in exactly 1 house. Let r be the relation on Usuch that A r B means that persons A and B live in the same house. Then ris symmetric since if A lives in the same house as B, then B lives in the same house as A. It is reflexive since A lives in the same house as him or herself. It is transitive, since if A lives in the same house as B, and B lives in the same house as C, then Alives in the same house as C. So among people who live in exactly one house, living together is an equivalence relation.The most well known equivalence relation is the familiar "equals" relationship.


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