anonymous
  • anonymous
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
Algebra
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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freckles
  • freckles
have you tried listing the first few terms of each
anonymous
  • anonymous
yeah
freckles
  • freckles
isn't every multiple of 6 a multiple of 2 also?

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freckles
  • freckles
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?
anonymous
  • anonymous
yes
freckles
  • freckles
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
anonymous
  • anonymous
c
freckles
  • freckles
the intersection of the sets mentioned will be what the sets have in common
freckles
  • freckles
we did say every element of the multiples of 6 set is included in the multiples of 2 set
freckles
  • freckles
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
freckles
  • freckles
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
anonymous
  • anonymous
thank you
freckles
  • freckles
np

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