In the poset (Z+, |) (where Z+ is the set of all positive integers and | is the divides relation) are the integers 9 and 351 comparable?
A. comparable
B. not comparable
C. comparable but not determined
D. determined but not comparable
Answer:A
In the poset (Z+, |) (where Z+ is the set of all positive integers and | is the divides relation) are the integers 9 and 351 comparable?
A. comparable B. not comparable C. comparable but not determined D. determined but not comparable
Explanation: The two integers 9 and 351 are comparable since 9|351 i.e, 9 divides 351. But 5 and 127 are not comparable since 5 | 127 i.e 5 does not divide 127.