In Exercises 85–88, use the given logical equivalence to rewrite the given sentence. [ HINT: See Example 5(c).] It is not true that either I am Julius Caesar or you are a fool. DeMorgan’s law.

Finite Mathematics

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337280426

Finite Mathematics

7th Edition
Stefan Waner + 1 other
Publisher: Cengage Learning
ISBN: 9781337280426
Chapter A, Problem 86E
Textbook Problem
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In Exercises 85–88, use the given logical equivalence to rewrite the given sentence. [HINT: See Example 5(c).]It is not true that either I am Julius Caesar or you are a fool. DeMorgan’s law.

To determine

The representation of the sentence “It is not true that either I am Julius Caesar or you are a fool.” Using De Morgan's law of logical equivalence.

Explanation of Solution

De Morgan's law states that If there are two statements p and q, then

(pq)(p)(q)(pq)(p)(q)

Consider the statement, “it is not true that either I am Julius Caesar or you are a fool”.

Here, p: I am Julius Caesar,

q: you are a fool.

Evaluate the condition, either I am Julius Caesar or you are a fool by applying disjunction.

pq

Then evaluate the it is not true that either I am Julius Caesar or you are a fool, using negation of pq

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