Consider the set A = {2, 3, 5, 11, 12, 13} and the relation Va, b E A, a R b → a = b mod 3. List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one element of A to represent each distinct equivalence class.

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Consider the set A
{2, 3, 5, 11, 12, 13} and the relation
Va, b E A, a R b → a = b
mod 3.
List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one
element of A to represent each distinct equivalence class.
You can use the Canvas math editor to create your equivalence class set rosters or you can
present them in keyboard symbols.
For example, I could answer equivalently in either of the following two ways (both are correct in
form but incorrect in content):
[2] = {2}or [2] = {2}
Transcribed Image Text:Consider the set A {2, 3, 5, 11, 12, 13} and the relation Va, b E A, a R b → a = b mod 3. List all distinct equivalence classes of the relation R on the set A in roster notation. Pick one element of A to represent each distinct equivalence class. You can use the Canvas math editor to create your equivalence class set rosters or you can present them in keyboard symbols. For example, I could answer equivalently in either of the following two ways (both are correct in form but incorrect in content): [2] = {2}or [2] = {2}
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