do closure property belongs to R satisfy under subtraction
Answers
Answer:
Real numbers are closed under addition, subtraction, and multiplication.
Answer:
A set is closed under an operation if performance of 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: {\displaystyle 1-2}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 {\displaystyle 0+0=0}0+0=0, {\displaystyle 0-0=0}0-0=0, and {\displaystyle 0\times {0}=0}0\times {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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