4. Consider the following statement: For all n N and x € Z, x² = 1 mod n Which of "if", "only if", "iff" in Which of "if", "only if", "iff" in Justify your answers. x = 1 mod n or x = -1 mod n. make this a true statement? make this a false statement?
4. Consider the following statement: For all n N and x € Z, x² = 1 mod n Which of "if", "only if", "iff" in Which of "if", "only if", "iff" in Justify your answers. x = 1 mod n or x = -1 mod n. make this a true statement? make this a false statement?
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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Question
![4. Consider the following statement:
For all n N and x € Z, x² = 1 mod n
Which of "if", "only if", "iff" in
Which of "if", "only if", "iff" in
Justify your answers.
x = 1 mod n or x = -1 mod n.
make this a true statement?
make this a false statement?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fea7bbfe4-f0d9-4343-839c-f9e5c129de8e%2Ff1d07ed9-ffbb-4540-9357-5807d867a7fc%2Feiqjrn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:4. Consider the following statement:
For all n N and x € Z, x² = 1 mod n
Which of "if", "only if", "iff" in
Which of "if", "only if", "iff" in
Justify your answers.
x = 1 mod n or x = -1 mod n.
make this a true statement?
make this a false statement?
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I want to know that the situations of "if" in the question.
![4. Consider the following statement:
For all n N and x € Z, x² = 1 mod n
Which of "if",
"only if", "iff" in
Which of "if", "only if", "iff" in
Justify your answers.
x = 1 mod n or x = -1 mod n.
make this a true statement?
make this a false statement?](https://content.bartleby.com/qna-images/question/ea7bbfe4-f0d9-4343-839c-f9e5c129de8e/185bc5a9-2e64-49c8-aed5-24e3a656ac3d/moifdxe_thumbnail.jpeg)
Transcribed Image Text:4. Consider the following statement:
For all n N and x € Z, x² = 1 mod n
Which of "if",
"only if", "iff" in
Which of "if", "only if", "iff" in
Justify your answers.
x = 1 mod n or x = -1 mod n.
make this a true statement?
make this a false statement?
Solution
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