Problem 12 Let A = [0, 10] CR. Let R be a relation on A given by [(a, b) = R E a, b are integers (c, c) € R c is not an integer In other words if (a, b) ≤ R, then either a and b are two integers, and for a non-integers c we only have (c, c) € R. So (2,3), (8,5), and 3.2, 3.2) are in R, but (3.2, 4.5) R. Find the equivalence classes and draw a picture that represents the quotient set A/R.

Advanced Engineering Mathematics
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Chapter2: Second-order Linear Odes
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Problem 12 Let A = [0, 10] CR. Let R be a relation on A given by
[(a, b) = R
E
a, b are integers
(c, c) € R
c is not an integer
In other words if (a, b) ≤ R, then either a and b are two integers, and for a non-integers c we only
have (c, c) € R. So (2,3), (8,5), and 3.2, 3.2) are in R, but (3.2, 4.5) R. Find the equivalence classes
and draw a picture that represents the quotient set A/R.
Transcribed Image Text:Problem 12 Let A = [0, 10] CR. Let R be a relation on A given by [(a, b) = R E a, b are integers (c, c) € R c is not an integer In other words if (a, b) ≤ R, then either a and b are two integers, and for a non-integers c we only have (c, c) € R. So (2,3), (8,5), and 3.2, 3.2) are in R, but (3.2, 4.5) R. Find the equivalence classes and draw a picture that represents the quotient set A/R.
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