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Positive numbers are not closed under subtraction. Give an example below.

Positive Numbers Are Not Closed Under Subtraction Give An Example Below class=

Sagot :

A set S is said to be closed under subtraction if:

[tex]\forall a,b\in S,\text{ a-b}\in S\text{ and b-a}\in S[/tex]

Since the set given is that of positive numbers, we pick two different positive numbers, say 6 and 9.

[tex]\begin{gathered} \\ 9-6=3\in S \\ 6-9=-3\notin S \end{gathered}[/tex]

Since -3 is not a positive number, we can then conclude that the set of positive numbers are

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