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Suppose A={2,3,6,9,10,12,14,18,20} and R Is the Partial

question 17

Short Answer

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

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Definitions:

Door-In-The-Face Technique

A persuasion strategy whereby a larger, less achievable request is made first, followed by a smaller, more reasonable request.

Foot-In-The-Door Effect

A psychological principle that suggests agreeing to a small request increases the likelihood of agreeing to a larger request later.

Compliance

The act of conforming to or following rules, standards, or laws, or yielding to a request or command from an authority.

Low-Ball Technique

A strategy in which someone makes a very attractive initial offer to get a person to commit to an action and then makes the terms less favorable.

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