Question

define closer property?​

Answer 1

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In mathematics, a set is closed under an operation if performing that operation on members of the set always produces a member of that set. For example, the positive integers are closed under addition, but not under subtraction: 1 − 2 is not a positive integer even though both 1 and 2 are positive integers. Another example is the set containing only zero, which is closed under addition, subtraction and multiplication (because 0 + 0 = 0, 0 − 0 = 0, and 0 × 0 = 0).

Similarly, a set is said to be closed under a collection of operations if it is closed under each of the operations individually.

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Answer 2

A set is closed under an operation if performing that operation on members of the set always produces a member of the set .