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Translate the given statement into | Ch 1.2 - 5E

Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Problem 5E Chapter 1.2

Discrete Mathematics and Its Applications | 7th Edition

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Discrete Mathematics and Its Applications | 7th Edition | ISBN: 9780073383095 | Authors: Kenneth Rosen

Discrete Mathematics and Its Applications | 7th Edition

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Problem 5E

Translate the given statement into propositional logic using the propositions provided.

You are eligible to be President of the USA, only if you are at least 35 years old. were born in the U.S.A. or at the time of your birth both of your parents were citizens, and you have lived at least 14 years in the country, Express your answer in terms of e: “You are eligible to be President of the U.S.A.,” a: “You are at least 35 years old,” b: “ You were born in the U.S.A, “ p: “At the time of your birth, both of your parents where citizens,” and r: “You have lived at least lived at least 14 years in the U.S.A,”

Step-by-Step Solution:

Step 1:

Here we have to translate the given statement into propositional logic using the propositions provided.and we have to express our answer in terms of a,e,b,p,r

Step 2:

Given: e:“You are eligible to be President of the U.S.A”

            a: “You are at least 35 years old”

            b: “ You were born in the U.S.A”

             p: “At the time of your birth, both of your parents were citizens”

            r: “You have lived at least lived at least 14 years in the U.S.A,”

We need to translate the statement “You are eligible to be President of the USA, only if you are at least 35 years old. were born in the U.S.A. or at the time of your birth both of your parents were citizens, and you have lived at least 14 years in the country” into propositional logic

Step 3:

Let us consider one by one statement first

1.at least 35 years old that is above 35 years old means it is ‘a’

2.born in the U.S.A. or at the time of your birth both of your parents were citizens that is born in U.S.A or parents is in U.S.A,means it is b or p ()

3. lived at least 14 years in the country that is  lived above 14 years in the country,means r

Step 4 of 5

Chapter 1.2, Problem 5E is Solved
Step 5 of 5

Textbook: Discrete Mathematics and Its Applications
Edition: 7
Author: Kenneth Rosen
ISBN: 9780073383095

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Translate the given statement into | Ch 1.2 - 5E

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