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9. Prove the following statements. For this question, upload your work as a pdf file (pictures of work on paper, typed, work written on a tablet, etc). Clearly label each question, and leave space around your work for comments. A. If a and c are odd integers, then ab + bc is even for every integer b. B. Let x be a real number. If x³ – x² is negative, then 3x + 4 < 7. C. Every odd integer is a difference of two squares. (For example, 7 = 4² – 3². Hint: Think about the factorization of a difference of squares.)

9. Prove the following statements. For this question, upload your work as a pdf file (pictures of work on paper, typed, work written on a tablet, etc). Clearly label each question, and leave space around your work for comments. A. If a and c are odd integers, then ab + bc is even for every integer b. B. Let x be a real number. If x³ – x² is negative, then 3x + 4 < 7. C. Every odd integer is a difference of two squares. (For example, 7 = 4² – 3². Hint: Think about the factorization of a difference of squares.)

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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9. Prove the following statements. For this question, upload your work as a pdf file (pictures of work on paper, typed, work written on a tablet, etc). Clearly label each question, and leave space around your work for comments. A. If a and c are odd integers, then ab + bc is even for every integer b. B. Let x be a real number. If x³ - x² is negative, then 3x + 4 < 7. C. Every odd integer is a difference of two squares. (For example, 7 = 4² -3². Hint: Think about the factorization of a difference of squares.)
Transcribed Image Text:9. Prove the following statements. For this question, upload your work as a pdf file (pictures of work on paper, typed, work written on a tablet, etc). Clearly label each question, and leave space around your work for comments. A. If a and c are odd integers, then ab + bc is even for every integer b. B. Let x be a real number. If x³ - x² is negative, then 3x + 4 < 7. C. Every odd integer is a difference of two squares. (For example, 7 = 4² -3². Hint: Think about the factorization of a difference of squares.)
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