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Which of the following sets are closed under the given

Chapter 2, Problem 4E

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QUESTION:

Which of the following sets are closed under the given operation?a. {0, 4, 8, 12} addition mod 16b. {0, 4, 8, 12} addition mod 15c. {1, 4, 7, 13} multiplication mod 15d. {1, 4, 5, 7} multiplication mod 9

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QUESTION:

Which of the following sets are closed under the given operation?a. {0, 4, 8, 12} addition mod 16b. {0, 4, 8, 12} addition mod 15c. {1, 4, 7, 13} multiplication mod 15d. {1, 4, 5, 7} multiplication mod 9

ANSWER:

Step 1 of 4

a. The set is given   with the binary operation addition .

Steps of operation are involved as.

 

Therefore, the given set is closed in addition module  .

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