A person's birth date consists of the month, day, and year in which that person was born. The domain for a relation R is a set of people. No two people in the group have the same birth date. A person x is related to person y under the relation if x's birth date is earlier than y's birth date. Is this relation partial order? Is it strict order? Is it total order? Justify your answers to each

Question

Mathematics

Britney

25 August, 20:16

A person's birth date consists of the month, day, and year in which that person was born. The domain for a relation R is a set of people. No two people in the group have the same birth date. A person x is related to person y under the relation if x's birth date is earlier than y's birth date. Is this relation partial order? Is it strict order? Is it total order? Justify your answers to each

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Rhianna Cohen · Answer 1

Answer: total order

Step-by-step explanation: A total order set is a set and it's relation which satisfies the conditions for a partial order and the comparability relation. What this means is two number in general have two conditions either one is less than or equal to, it doesn't matter which two numbers we select. So a total order set is just like ≤ for numbers. Since X birth date is earlier than Y birth date this satisfies the conditions for total order X is ≤ Y (less than or equal Y).