Suppose a = {2, 3, 6, 9, 10, 12, 14 $R$

question 63

Short Answer

Suppose A = {2, 3, 6, 9, 10, 12, 14, 18, 20} and R is the partial order relation defined on A where xR y means x is a divisor or y .
(a) Draw the Hasse diagram for $R$ .
(b) Find all maximal elements.
(c) Find all minimal elements.
(d) Find $\operatorname { lub } ( \{ 2,9 \} )$ .
(e) Find $\operatorname { lub } ( \{ 3,10 \} )$ .
(f) Find $\operatorname { glb } ( \{ 14,10 \} )$ .

---

Definitions:

Real-World Practice

Practical application of theoretical knowledge in real life situations outside of a controlled environment.

New Skills and Knowledge

The acquisition of fresh abilities and understanding required to adapt to new technology, processes, or industry standards.

Emotional Reactions

Immediate responses of feelings to situations, events, or stimuli, varying widely across individuals.

Inhibit

To restrain or hold back an action, reaction, or process.