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(Solved): Question 11 (5 points) Which of these relations on {0,1,2,3} are equivalence relations? For those th ...
Question 11 (5 points)
Which of these relations on {0,1,2,3} are equivalence relations? For those that are
not, what properties do they lack?
(i) {0∼0,1∼1,2∼2,3∼3}
(ii) {0∼0,0∼2,2∼0,2∼2,2∼3,3∼2,3∼3}
(iii) {0∼0,1∼1,1∼2,2∼1,2∼2,3∼3}
(iv) {0∼0,1∼1,1∼3,2∼2,2∼3,3∼1,3∼2,3∼3}
(v) {0∼0,0∼1,0∼2,1∼0,1∼1,1∼2,2∼0,2∼2,3∼3}