5. Consider the operation a * b = |b|. a) Is this a binary operation on the set S = R? Justify your answer. b) Is this a binary operation on the set S = {–4,–3, –1, 1,2,3,4}? Justify your answer.

5. Consider the operation a * b = |b|. a) Is this a binary operation on the set S = R? Justify your answer. b) Is this a binary operation on the set S = {–4,–3, –1, 1,2,3,4}? Justify your answer.

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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5. Consider the operation a * b = |b|.
a) Is this a binary operation on the set S = R? Justify your answer.
b) Is this a binary operation on the set S = {–4,–3, –1, 1,2,3,4}? Justify your answer.

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