Let A = the set of straight lines in the xy-plane. Let a L b mean “line a is parallel to line 6”. reflexive? symmetric? transitive? We can form "equivalence classes". Define [a] = {b € A | b is parallel to a}. For example: [y = x] = [x = 11] = [y = -2x] =

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Let A = the set of straight lines in the xy-plane.
Let a L b mean “line a is parallel to line 6”.
reflexive?
symmetric?
transitive?
We can form "equivalence classes".
Define [a] = {b € A | b is parallel to a}.
For example:
[y = x] =
[x = 11] =
[y = -2x] =
Transcribed Image Text:Let A = the set of straight lines in the xy-plane. Let a L b mean “line a is parallel to line 6”. reflexive? symmetric? transitive? We can form "equivalence classes". Define [a] = {b € A | b is parallel to a}. For example: [y = x] = [x = 11] = [y = -2x] =
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