I know that in order to show an equivalence relation I need to check for (1) reflexivity, (2) Symmetry, and (3) transitivity. I just cant figure out how to prove those things for this problem. (Problem attached.) 201. Proofs, Sets, and Functions3. Let L be the collection of all lines in the plane. Define a relation on L by sayingthat two lines are equivalent if and only if they are parallel or equal. Show that thisis an equivalence relation on L.4. Define a relation on C by

Given that L is the collection of lines in a plane. We need to prove the relation defined by two…

3. Let L be the collection of all lines in the plane. Define a relation on L by saying that two lines are equivalent if and only if they are parallel or equal. Show that this is an equivalence relation on L. 4. Define a relation on C by

3. Let L be the collection of all lines in the plane. Define a relation on L by saying that two lines are equivalent if and only if they are parallel or equal. Show that this is an equivalence relation on L. 4. Define a relation on C by

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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I know that in order to show an equivalence relation I need to check for (1) reflexivity, (2) Symmetry, and (3) transitivity. I just cant figure out how to prove those things for this problem. (Problem attached.)

20
1. Proofs, Sets, and Functions
3. Let L be the collection of all lines in the plane. Define a relation on L by saying
that two lines are equivalent if and only if they are parallel or equal. Show that this
is an equivalence relation on L.
4. Define a relation on C by

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