What is closure under subtraction and closure under addition
Answers
Answer:
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
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
Closure under subtraction -
5-4 =1 ( 1 is a whole number)
We have to do it with rearranging also and if the answer is in whole number and the answer is same so that means it is closed under closure property.
4-5= -1 ( not a whole number and the answer is also not same)
So it is confirmed that subtraction is not closed under closure property.
Same is in Addition also and Addition is closed under closure property.
5+4=9
4+5=9