   Chapter 8.5, Problem 11ES ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193

#### Solutions

Chapter
Section ### Discrete Mathematics With Applicat...

5th Edition
EPP + 1 other
ISBN: 9781337694193
Textbook Problem
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# Let A = { a , b } , and supposeAhas the partial order relation Rwhere R = { ( a , a ) ,   ( a , b ) ,   ( b , b ) } . Let S be the set of all strings in a’s and b’sand letbe the corresponding lexicographic order on S. Indicate which of the following statements are true, and for each true statement citeas a reason part (l),(2),or (3)of the definition oflexicographic order given in Theorem 8.5.1. a a b ≤ a a a b a b b a b ≤ b b a λ ≤ a b a a b a ≤ a b b b b a b ≤ b b a a a b a b a ≤ a b a b a a b b a b a ≤ b b a b b

To determine

(a)

To indicate the given statements as true or false.

Explanation

Given information:

A={a,b} and A has the partial order relation R. R={(a,a),(a,b),(b,b)}

To determine

(b)

To indicate the given statements as true or false.

To determine

(c)

To indicate the given statements as true or false.

To determine

(d)

To indicate the given statements as true or false.

To determine

(e)

To indicate the given statements as true or false.

To determine

(f)

To indicate the given statements as true or false.

To determine

(g)

To indicate the given statements as true or false.

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