Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.

Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n), then a +c = b+d (mod n). Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a). Proof.

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter13: Sequences And Series

Section13.CT: Chapter Test

Problem 10CT

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please send correct proof 7

Proposition 7. Let a, b, c, d E Z and n be a positive integer. If a = b (mod n) andc = d (mod n),
then a +c = b+d (mod n).
Hint: Try using the definition of modulo n. We define a = b (mod n) as n|(b – a).
Proof.

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