Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 1 - Section 1.8 - Proof Methods and Strategy - Supplementary Exercises - Page 112: 10

Answer

Sequence $1: T, T, T$ Sequence $2: F, F, F$ Sequence $3: T, F, F $ Sequence $4: T, T, F$ $T$=accepts and $F$=rejects.

Work Step by Step

If the system is consistent, the student will pass the test. The system is consistent if none of the statements contradict each other. The student will then pass the test if he/ she uses one of the 8 answer options in the last $3$ ( Red )columns of the given table (note: sequence $1$ occurs four times in the truth table and sequence $2$ twice) Sequence $1: T, T, T$ Sequence $2: F, F, F$ Sequence $3: T, F, F $ Sequence $4: T, T, F$ $T$=accepts and $F$=rejects.
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