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# Solved: Determine whether each of these conditional ISBN: 9780073383095 37

## Solution for problem 18E Chapter 1.1

Discrete Mathematics and Its Applications | 7th Edition

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Problem 18E

Determine whether each of these conditional statements is true or false.a) If 1 + 1 = 3, then unicorns exist.________________b)If 1+ 1 = 3, then dogs can fly.________________c) If 1 + 1 = 2, then dogs can fly.________________d) If 2 + 2 = 4, then 1 + 2 = 3.

Step-by-Step Solution:

Solution:Step 1:In this problem we have to determine the given conditional statements are true or false.Definition of conditional : If the first statement is true and second statement is false then false otherwise all true. the conditional operator is denoted by . the conditional pq represents “ if p then q”.Table of conditional :pqpqTTTTFFFTTFFTStep 2:a: Let 1 + 1 = 3is p statement and unicorns exist is q statement .Clearly p statement is false and q statement is also true.Hence pq is true Consequently if 1 + 1 = 3, then unicorns exist is TRUE statement.Step 3:b: Let 1+ 1 = 3 is p statement and dogs can fly is q statement .Clearly p statement is false and q statement is also false.Hence pq is true .Consequently If 1 + 1 = 3, then dogs can fly is TRUE statement.

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##### ISBN: 9780073383095

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