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Yes, the set P is closed under union if for any two elements in P, their union is also in P.

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5mo ago

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Related Questions

Is the set of non-deterministic polynomial time (NP) problems closed under the operation of union?

Yes, the set of non-deterministic polynomial time (NP) problems is closed under the operation of union.


The set of even numbers is closed under division?

No. 2/4 is not an even number.


What is always true about whole numbers?

They form a closed set under addition, subtraction or multiplication.


What is closed and not-closed under addition?

The set of even numbers is closed under addition, the set of odd numbers is not.


Is a rational number closed under addition?

No. A number cannot be closed under addition: only a set can be closed. The set of rational numbers is closed under addition.


Is the set of nonregular languages closed under intersection?

No, the set of nonregular languages is not closed under intersection.


Are the set of rational numbers closed under addition?

Yes, the set is closed.


Is the set of real numbers closed under addition?

Yes. The set of real numbers is closed under addition, subtraction, multiplication. The set of real numbers without zero is closed under division.


Are any of these sets closed under multiplication?

To determine if a set is closed under multiplication, we need to check if the product of any two elements from the set is also an element of the same set. For example, the set of integers is closed under multiplication because the product of any two integers is always an integer. In contrast, the set of natural numbers is also closed under multiplication, while the set of rational numbers is closed under multiplication as well. However, sets like the set of positive integers and the set of even integers are also closed under multiplication.


Is this set of negative numbers closed under multiplication or addition?

Yes. The empty set is closed under the two operations.


ARe odd integers not closed under addition?

That is correct, the set is not closed.


Is the collection of integers closed under subraction?

Yes, the set of integers is closed under subtraction.