Question: Consider the lexicographic order relation L sunch that L={(a,b) if a preceeds b in the English dictionary} on the set of words S= {bird, sing,

Consider the lexicographic order relation L sunch that L={(a,b) if a preceeds b in the English dictionary} on the set of words

S= {bird, sing, branch}

  1. Write the pairs of words that satisfy the relation
  2. Draw its diagraph and the corresponding Hasse diagram.
  3. Find the maximal elements
  4. Find the minimal elements
  5. Is there a greatest element? if yes which one?
  6. Is there a least element? If yes which one?

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