Kitten_is_back
  • Kitten_is_back
Which sets of numbers are closed under subtraction? Choose all answers that are correct. A. odd natural numbers B. rational numbers C. {0, 1} D. {0, 1, 2}
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
Hm... I've never heard it called "closed" under subtraction.
Kitten_is_back
  • Kitten_is_back
mjm
bahrom7893
  • bahrom7893
Basically this is saying, which set can you manipulate in a way that it maintains its elements. There's an example here: http://www.algebraden.com/closure_property_subtraction_of_integers.htm

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More answers

bahrom7893
  • bahrom7893
Let's take C for example: {0, 1} 1 - 0 = 1 which is in the set, but 0-1 = -1 which is not. So this set is NOT closed under subtraction.
bahrom7893
  • bahrom7893
or D: {0, 1, 2} again 1-2 = -1, not in the set, so not closed under subtraction
Kitten_is_back
  • Kitten_is_back
its a b
bahrom7893
  • bahrom7893
What about A? What are odd natural numbers?
bahrom7893
  • bahrom7893
Well, what are odd natural numbers?
Kitten_is_back
  • Kitten_is_back
idk and night '='
bahrom7893
  • bahrom7893
odd natural numbers are odd positive integers: 1, 3, 5, etc. so 1-3 = -2 which is NOT an odd positive integer which is why this set is NOT closed under subtraction

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