I do not understand how you determine if a set is closed or open under a given operation.
Stacey Warren - Expert brainly.com
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ever color in a coloring book?
OK how do I determine if a set of natural numbers is closed or open with addition.
the rules are that you must stay in between the lines ... same thing for an operation on a set; in order to be closed, the solution has to be an element within the set
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ah ... let a,b be elements of the natural numbers;
if the solution to a+b is NOT a natural number, for ANY a,b combinations, then the set is OPEN
if the solution to a+b IS a natural number, for ALL a,b combinations, then the set is CLOSED
i cant really think of a good way to try to prove that 2 natural numbers sum to a natural number tho ... maybe by contradication?
what about if you are subtracting
can you find 2 natural numbers that when subtracted is NOT a natural number?