Consider the following relation R on the set A = {−40, −7, −4,−2, 1, 10, 11, 29} Given that R is an equivalence relation on A byfollowing for all x, y ∈ A, xRy if and only if x ≡ y(mod 9) whichof the following is the partition of A into equivalence classes.Select the correct response.
A. R = n {−40}, {−4}, {−7, 11}, {29, −2}, {1}, {10} o
B. R = n {−40, −7, −4, −2, 1, 10, 11, 29} o
C. P = n {−40, −7, −4}, {−2, 1}, {10, 11, 29} o
D. R = n {−40, −4}, {−7, 11, 29}, {−2}, {1, 10} o
E. R = n {−40, −7, −4}, {11, 29}, {−2}, {1, 10} o
F. R = n {−40, −4}, {11, 29}, {−7, −2}, {1, 10} o
G. None of above
- Consider The Following Relation R On The Set A 40 7 4 2 1 10 11 29 Given That R Is An Equivalence Relatio 1 (88.15 KiB) Viewed 57 times
Consider the following relation R on the set A = {-40, −7, −4, −2, 1, 10, 11, 29} Given that R is an equivalence relation on A by following for all x, y € A, xRy if and only if x = y(mod 9) which of the following is the partition of A into equivalence classes. Select the correct response. A. R = {{-40}, {-4}, {−7, 11}, {29,—2}, {1}, {10}} B. R = {{-40, −7, –4, −2, 1, 10, 11, 29}} C. P = {{-40, −7, −4}, {−2, 1}, {10, 11, 29}} D. R = {{-40, −4}, {−7, 11, 29}, {−2}, {1, 10}} E. R = {{-40,–7, −4}, {11, 29}, {−2}, {1, 10} ={{-40,-4}, {11,29}, {-7,-2}, {1, 10}} G. None of above =