Explanation Given information: S = ( 0 , 1 , 2 ) Concept used: Maximal, Minimal, Least element. Calculation: To find the greatest element, least element maximal and minimal element of S = ( 0 , 1 , 2 ) , first find the power set of S i.e. P ( S ) = { Φ , { 0 } , { 1 } , { 2 } , { 0 , 1 } , { 0 , 2 } , { 1 , 2 } , { 0 , 1 , 2 } } Now, draw the Hasse diagram of “subset” relation on P ( S ) . Now from the Hasse diagram, it is clear that Greatest element is { 0 , 1 , 2 } , because for all b in P ( S ) , b is related to { 0 , 1 , 2 }

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Chapter 8.5, Problem 25ES

To determine

To find:

All greatest, least, maximal and minimal elements for the “subset” relation on the set

S={0,1,2}.

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Chapter 8.5, Problem 24ES

Chapter 8.5, Problem 26ES

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All greatest, least, maximal and minimal elements for the “subset” relation on the set S = { 0 , 1 , 2 } .

Solution Summary: The author explains how to find the greatest, least, maximal, and minimal elements of S=(0,1,2).

Videos

To find:

All greatest, least, maximal and minimal elements for the “subset” relation on the set

S={0,1,2}.

Want to see the full answer?

Chapter 8 Solutions

All greatest, least, maximal and minimal elements for the “subset” relation on the set S = { 0 , 1 , 2 } .

Solution Summary: The author explains how to find the greatest, least, maximal, and minimal elements of S=(0,1,2).

Videos

To find: All greatest, least, maximal and minimal elements for the “subset” relation on the set S={0,1,2}.

Want to see the full answer?

Chapter 8 Solutions

To find:

All greatest, least, maximal and minimal elements for the “subset” relation on the set

S={0,1,2}.