Consider the poset ({3, 5, 9, 15, 24, 45}, | ). Which of the following is correct for the given poset?
A. There exists a greatest element and a least element.
B. There exists a greatest element but not a least element.
C. There exists a least element but not a greatest element.
D. There does not exist a greatest element and a least element.
Answer:D
Consider the poset ({3, 5, 9, 15, 24, 45}, | ). Which of the following is correct for the given poset?
A. There exists a greatest element and a least element. B. There exists a greatest element but not a least element. C. There exists a least element but not a greatest element. D. There does not exist a greatest element and a least element.