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Write in words the inverse of the statement: "If n + 1 is an odd number, then 3 is a prime number" a. "Ifn+1 is not an odd number, then 3 is not a prime number" b. "If 3 is not a prime number, then n + 1 is not an odd number" c. "If 3 is a prime number, then n + 1 is an odd number" d. "It is the case that n + 1 is not an odd number, then 3 is not a prime number"

Write in words the inverse of the statement: "If n + 1 is an odd number, then 3 is a prime number" a. "Ifn+1 is not an odd number, then 3 is not a prime number" b. "If 3 is not a prime number, then n + 1 is not an odd number" c. "If 3 is a prime number, then n + 1 is an odd number" d. "It is the case that n + 1 is not an odd number, then 3 is not a prime number"

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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7. Write in words the inverse of the statement: “If n + 1 is an odd number, then 3 is a prime number" a. "Ifn+1 is not an odd number, then 3 is not a prime number" b. "If 3 is not a prime number, then n + 1 is not an odd number" c. "If 3 is a prime number, then n+ 1 is an odd number" d. "It is the case that n+ 1 is not an odd number, then 3 is not a prime number" The proposition "if not q, then not p" is said to be 8. c. Inverse of each other d. Equivalent to each other 9. Which a. Converse of each other b. Contrapositive to each other of the following is a tautology? a. Proposition b. Affirming the Disjunct 10. Translate the argument into symbolic form. If Joanna is relaxed, then she is productive. Joanna is not relaxed. Therefore, she is productive. c. Modus Tollens d. Argument a. p→ q b. -p V q c. p V - q d. p + q -p -p
Transcribed Image Text:7. Write in words the inverse of the statement: “If n + 1 is an odd number, then 3 is a prime number" a. "Ifn+1 is not an odd number, then 3 is not a prime number" b. "If 3 is not a prime number, then n + 1 is not an odd number" c. "If 3 is a prime number, then n+ 1 is an odd number" d. "It is the case that n+ 1 is not an odd number, then 3 is not a prime number" The proposition "if not q, then not p" is said to be 8. c. Inverse of each other d. Equivalent to each other 9. Which a. Converse of each other b. Contrapositive to each other of the following is a tautology? a. Proposition b. Affirming the Disjunct 10. Translate the argument into symbolic form. If Joanna is relaxed, then she is productive. Joanna is not relaxed. Therefore, she is productive. c. Modus Tollens d. Argument a. p→ q b. -p V q c. p V - q d. p + q -p -p
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