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Kitten_is_back

  • one year ago

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}

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  1. anonymous
    • one year ago
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    Hm... I've never heard it called "closed" under subtraction.

  2. Kitten_is_back
    • one year ago
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    mjm

  3. bahrom7893
    • one year ago
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    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

  4. bahrom7893
    • one year ago
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    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.

  5. bahrom7893
    • one year ago
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    or D: {0, 1, 2} again 1-2 = -1, not in the set, so not closed under subtraction

  6. Kitten_is_back
    • one year ago
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    its a b

  7. bahrom7893
    • one year ago
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    What about A? What are odd natural numbers?

  8. bahrom7893
    • one year ago
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    Well, what are odd natural numbers?

  9. Kitten_is_back
    • one year ago
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    idk and night '='

  10. bahrom7893
    • one year ago
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    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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