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The following proposition is true: "The number of words in this sentence is nine." In logic, the opposite of a true statement should be false. Which of the following statements is a valid logical negation of the given proposition? * O The number of words in this sentence is at least nine. O The number of words in this sentence is less than nine. O The number of words in this sentence is more than nine. The number of words in this sentence is not nine.

The following proposition is true: "The number of words in this sentence is nine." In logic, the opposite of a true statement should be false. Which of the following statements is a valid logical negation of the given proposition? * O The number of words in this sentence is at least nine. O The number of words in this sentence is less than nine. O The number of words in this sentence is more than nine. The number of words in this sentence is not nine.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The following proposition is true: "The number of words in this sentence is nine." In logic, the opposite of a true statement should be false. Which of the following statements is a valid logical negation of the given proposition? * The number of words in this sentence is at least nine. The number of words in this sentence is less than nine. The number of words in this sentence is more than nine. The number of words in this sentence is not nine.
Transcribed Image Text:The following proposition is true: "The number of words in this sentence is nine." In logic, the opposite of a true statement should be false. Which of the following statements is a valid logical negation of the given proposition? * The number of words in this sentence is at least nine. The number of words in this sentence is less than nine. The number of words in this sentence is more than nine. The number of words in this sentence is not nine.
Assume that p and q are true statements and that r is a false statement. Which of the following statements is NOT true? * (p ^ q) v r p^ (q vr)
Transcribed Image Text:Assume that p and q are true statements and that r is a false statement. Which of the following statements is NOT true? * (p ^ q) v r p^ (q vr)
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