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anonymous

  • one year ago

unions and intersection of sets let N={x|x is a multiple of 2} and P={x\x is a multiple of 6}. Describe the intersection of N and P

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  1. freckles
    • one year ago
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    have you tried listing the first few terms of each

  2. anonymous
    • one year ago
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    yeah

  3. freckles
    • one year ago
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    isn't every multiple of 6 a multiple of 2 also?

  4. freckles
    • one year ago
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    2(1),2(2),2(3),2(4),2(5),2(6),2(7),2(8),2(9),... 6(1),6(2),6(3),6(4),6(5),6(6),6(7),6(8),6(9),...<--Don't you think every element that is in this set will show up in that first set since every element in this set is a multiple of 2?

  5. anonymous
    • one year ago
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    yes

  6. freckles
    • one year ago
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    so what can you say about the intersection of these sets (I will give you multiple choice) A) the intersection is the set of multiples of 2 B) the intersection is the set of multiples of 6 C) Neither of these options

  7. anonymous
    • one year ago
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    c

  8. freckles
    • one year ago
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    the intersection of the sets mentioned will be what the sets have in common

  9. freckles
    • one year ago
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    we did say every element of the multiples of 6 set is included in the multiples of 2 set

  10. freckles
    • one year ago
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    2(1),2(2),2(3),2(4),2(5),2(6),2(7),2(8),2(9),... 6(1),6(2),6(3),6(4),6(5),6(6),6(7),6(8),6(9),... look these two list of numbers have 6,12,18,24,30,36,... in common this is the multiples of 6

  11. freckles
    • one year ago
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    18 is in the first set because 18 can be written as 2(9) 24 is in the first set because 24 can be written as 2(12) 30 is in the first set because 30 can be written as 2(15) 36 is in the first set because 36 can be written as 2(18) and so on.. Just pointing this out because that is what the dots mean the list continues

  12. anonymous
    • one year ago
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    thank you

  13. freckles
    • one year ago
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    np

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