In 22—29, find all greatest, least, maximal, and minimal elements for the relations in each of the referenced exercises.

28. Exercise 20

To find the greatest, least, maximal and minimal elements for the relations in the given exercise.

Given information:

Reference to the exercise 20.

Let S={0,1} and consider the partial order relation R defined on S×S×S, for all ordered triplets

(a,b,c) and (d,e,f) in S×S×S ,

(a,b,c)R(d,e,f)⇔

a≤d, b≤e and c≤f where ≤ denotes “less than or equal to” rational for real numbers.

Calculation:

The following are the values of the triplets of (a,b,c) and (d,e,f)