Answer Step-by-step explanation:
[tex]\huge\boxed{option~D}[/tex]
[tex]From~all~the~options~you~have~given~the~correct~answer~would~be~option~B.[/tex]
Option "A" - False
[tex]The~set~is~not~closed~under~addition~and~not~closed~under~subtraction[/tex]
Option "B" - True
[tex]The~set~is~closed~under~addition~and~not~closed~under~subtraction[/tex]
Option "C" - False
[tex]The~set~is~closed~under~addition~and~close~under~subtraction.[/tex]
Option "D" - False
[tex]The~set~is~not~closed~under~addition~and~closed~under~subtraction.[/tex]
The set is closed under addition and not closed under subtraction
A set is closed under a certain arithmetic operation if the result of the operation also belongs to the set
Natural numbers are positive whole numbers
The set of natural numbers is always closed under addition
If a and b are natural numbers and a + b = c, then c is also a natural number
The set of natural numbers is not closed under subtraction
If d and e are natural numbers and d - e = f, f does not have to be a natural number.
Therefore, the true statement is "the set is closed under addition and not closed under subtraction"
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