Which statement is true for the set of natural numbers?

AThe set is closed under addition and closed under subtraction
BThe set is closed under addition and not closed under subtraction
CThe set is not closed under addition and closed under subtraction
DThe set is not closed under addition and not closed under subtraction

Question

03-12-2016
Mathematics

Answered

Which statement is true for the set of natural numbers?

AThe set is closed under addition and closed under subtraction
BThe set is closed under addition and not closed under subtraction
CThe set is not closed under addition and closed under subtraction
DThe set is not closed under addition and not closed under subtraction

Verified Answer :

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jimthompson5910 jimthompson5910 · Answer 1 · 2016-12-03T04:14:46-05:00

jimthompson5910 jimthompson5910

03-12-2016

It's closed under addition. You can take any two natural numbers you want, add them up and you'll get some other natural number (eg: 3 and 5 ---> 3+5 = 8)

it's not closed under subtraction. Sure 5-3 = 2 is a natural number but 3-5 = -2 is not a natural number

so that leads us to the answer being choice B

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