Concept explainers
In Exercises 1-6, let p, q, and r represent the following simple statements:
p: The temperature is below 32°.
q: We finished studying.
r: We go to the movies.
Express each symbolic compound statement in English. If a symbolic statement is given without parentheses, place them, as needed, before and after the most dominant connective and then translate into English.
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Answer to Problem 1RE
Solution:
The English statement of the provided symbolic statement is
“
Explanation of Solution
Given:
Let p, q, and r represent the following simplestatements:
p: “The temperature is below
q: “We finished studying.”
r: “We go to the movies.”
If asymbolic statement is provided without parentheses, place them, asneeded, before and after the most dominant connective.
The provided symbolic statement is
Explanation:
To convert provided symbolic representation
where
Hence, the English representation of modified symbolic statement is
The temperature is below
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