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Answer: In 5.1-5.10, decide whether the given set of numbers forms a group with respect

Chapter 5, Problem 5.9

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QUESTION:

In 5.1-5.10, decide whether the given set of numbers forms a group with respect to thegiven operation. If it does, give the identity element and the inverse of each element. If it does not,give a reason. In each case, be sure to check whether the given set is closed with respect to the givenoperation. All nonzero rational numbers, division.

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QUESTION:

In 5.1-5.10, decide whether the given set of numbers forms a group with respect to thegiven operation. If it does, give the identity element and the inverse of each element. If it does not,give a reason. In each case, be sure to check whether the given set is closed with respect to the givenoperation. All nonzero rational numbers, division.

ANSWER:

Step 1 of 2

The given set with operation is as follows:

It is observed that  and:

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