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4.6. Let a e Z. Prove that if 3|2a, then 3|a. 4.7. Let n E Z. Prove that 3 (2n² + 1) if and only if 3 ł n. 4.8. Let x E Z. Prove that if 2| (x – 5), then 4| (x² - 5).

4.6. Let a e Z. Prove that if 3|2a, then 3|a. 4.7. Let n E Z. Prove that 3 (2n² + 1) if and only if 3 ł n. 4.8. Let x E Z. Prove that if 2| (x – 5), then 4| (x² - 5).

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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4.7 using k and j if necessary. In complete sentences please.

4.6. Let a E Z. Prove that if 3 2a, then 3a. 4.7. Let n E Z. Prove that 3 (2n2 + 1) if and only if 3 n. 4.8. Let x € Z. Prove that if 2| (x² – 5), then 4| (x² – 5).
Transcribed Image Text:4.6. Let a E Z. Prove that if 3 2a, then 3a. 4.7. Let n E Z. Prove that 3 (2n2 + 1) if and only if 3 n. 4.8. Let x € Z. Prove that if 2| (x² – 5), then 4| (x² – 5).
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