Consider the set A and the operation from Problem 33. Does the set A satisfy the

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Consider the set A and the operation ⊗ from Problem 33.
Does the set A satisfy the given property for the operation of ⊗? Give reasons for your answer.

a. Associative

b. Commutative

Data from Problem 33

Consider the set A = {1, 4, 7, 9} with an operation ⊗ defined by the table.

1 4 7 9 1 9 7 1 4 4 7 9 4 1 7 1 4 7 9 9 4 1 9 7 ab means find the entry in row a and column b; for example,

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Nature Of Mathematics

ISBN: 9781133947257

13th Edition

Authors: Karl J. Smith

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Consider the set A and the operation from Problem 33. Does the set A satisfy the

Question:

1 4 7 9 1 9 7 1 4 4 7 9 4 1 7 1 4 7 9 9 4 1 9 7 ab means find the entry in row a and column b; for example, 79=9 (the entry in row 7 and column 9). Find each of the following. a. 7 4 4 b. 9 1 4 c. 17 d. 99 7 e. 4 f. 19 4 7 g. 7 h. 7 7 1 7 4 1 1

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Nature Of Mathematics

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