the relation ~define by R by x~y if x is grater and equal to y is an equivalence relation
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x ~ y : if x ≥ y.
check if the relation R is a
1) reflexive relation: x ≥ x it is true
2) transitive relation: x ≥ y and y ≥ z => x ≥ z it is true
3) symmetric relation: x ≥ y means y ≥ x. It is not always true.
Hence, R is not an equivalence relation.
check if the relation R is a
1) reflexive relation: x ≥ x it is true
2) transitive relation: x ≥ y and y ≥ z => x ≥ z it is true
3) symmetric relation: x ≥ y means y ≥ x. It is not always true.
Hence, R is not an equivalence relation.
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