Consider the set A and the operation from Problem 33. Is the set A closed for

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Consider the set A and the operation ⊗ from Problem 33. Is the set A closed for the operation of ⊗? Give reasons for your answer.

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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