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Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230

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Section
BuyFindarrow_forward

Elements Of Modern Algebra

8th Edition
Gilbert + 2 others
ISBN: 9781285463230
Textbook Problem
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True or False

Label each of the following statements as either true or false.

If * is a binary operation on a nonempty set A , then A is closed with respect to *.

To determine

Whether the statement, “If * is a binary operation on a nonempty set A, then A is closed with respect to &*#x201D; is true or false.

Explanation

Formula Used:

A set A is said to be closed with respect to the binary operation if x,yA and xyA.

Explanation:

Let us consider set of all natural numbers N and consider the binary operation xy=xy

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