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Prove directly if the statements that are true, give counterexamples to disprove those that are false. (1). V m, n E Z, ifm mod 6 = 5 and n mod 6 = 2 then mn mod 6 = 4. 2. (2). V m, n ɛ Z, if m | n³ and m Sn then m | n.

Prove directly if the statements that are true, give counterexamples to disprove those that are false. (1). V m, n E Z, ifm mod 6 = 5 and n mod 6 = 2 then mn mod 6 = 4. 2. (2). V m, n ɛ Z, if m | n³ and m Sn then m | n.

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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2. Prove directly if the statements that are true, give counterexamples to disprove those that are false. (1). V m, n e Z, ifm mod 6 = 5 and n mod 6 = 2 then mn mod 6 = 4. (2). V m, n e Z, if m | n3 and m <n then m | n.
Transcribed Image Text:2. Prove directly if the statements that are true, give counterexamples to disprove those that are false. (1). V m, n e Z, ifm mod 6 = 5 and n mod 6 = 2 then mn mod 6 = 4. (2). V m, n e Z, if m | n3 and m <n then m | n.
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