To find: Whether each relation is an equivalence relation.
Answer to Problem 34PPS
The relation is not an equivalence relation.
Explanation of Solution
Given information:
The given relation is “
Calculation:
To see if this is an equivalence relation, we must check if it is reflexive transitive, and symmetric.
First check reflexive.
Result: Yes.
Now check symmetric.
Result: No.
For example:
Thus the relation does not have symmetric property.
Therefore, the relation is not an equivalence relation.
Chapter 2 Solutions
Geometry, Student Edition
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