QuestionAugust 26, 2025

Integers are closed under addition subtraction and multiplication. True False

Integers are closed under addition subtraction and multiplication. True False
Integers are closed under addition subtraction and multiplication. True False

Solution
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Answer

True Explanation 1. Define Closure Property A set is closed under an operation if performing that operation on members of the set always produces a member of the same set. 2. Check Addition Adding any two integers results in another integer. Thus, integers are closed under addition. 3. Check Subtraction Subtracting any two integers results in another integer. Thus, integers are closed under subtraction. 4. Check Multiplication Multiplying any two integers results in another integer. Thus, integers are closed under multiplication.

Explanation

1. Define Closure Property<br /> A set is closed under an operation if performing that operation on members of the set always produces a member of the same set.<br /><br />2. Check Addition<br /> Adding any two integers results in another integer. Thus, integers are closed under addition.<br /><br />3. Check Subtraction<br /> Subtracting any two integers results in another integer. Thus, integers are closed under subtraction.<br /><br />4. Check Multiplication<br /> Multiplying any two integers results in another integer. Thus, integers are closed under multiplication.
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