Let A = {1, 2, 3,4, 5, 6} and let R be an equivalence relation on A.  Suppose that 1R2, 3R5 and 6R3. Also assume R has 3 equivalence classes, no equivalence class has 4 members, and [4] has only one member. Determine the equivalence classes of R.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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Let A = {1, 2, 3,4, 5, 6} and let R be an equivalence relation on A.  Suppose that 1R2,
3R5 and 6R3. Also assume R has 3 equivalence classes, no equivalence class has 4 members, and
[4] has only one member. Determine the equivalence classes of R.

Let A = {1,2,3, 4, 5, 6} and let R be an equivalence relation on A. Suppose that 1R2,
а.
3R5 and 6R3. Also assume R has 3 equivalence classes, no equivalence class has 4 members, and
[4] has only one member. Determine the equivalence classes of R. (Hint: it may help to draw the
digraph representation of R.)
Transcribed Image Text:Let A = {1,2,3, 4, 5, 6} and let R be an equivalence relation on A. Suppose that 1R2, а. 3R5 and 6R3. Also assume R has 3 equivalence classes, no equivalence class has 4 members, and [4] has only one member. Determine the equivalence classes of R. (Hint: it may help to draw the digraph representation of R.)
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