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Is the set of real numbers closed under addition explain why or why not?

Sagot :

Yes, The set of real numbers closed under addition.

What is closure property ?

In mathematics, a set is closed under an operation if we perform it on its members and always obtain a member of the set. As a result, a set either possesses closure regarding a particular operation or it does not. A set is said to satisfy a closure property if it is closed by an operation or set of operations.

Yes, the set of real numbers is closed under addition. This means that if you take any two real numbers and add them together, the result will also be a real number. This is because the real numbers include all possible numbers that can be represented on the number line, and when you add two real numbers together, the result will always be another point on the number line. Therefore, the set of real numbers is closed under addition because it contains all possible results of adding two real numbers together.

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