Question

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

Answer 1

have you tried listing the first few terms of each

Answer 2

yeah

Answer 3

isn't every multiple of 6 a multiple of 2 also?

Answer 4

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?

Answer 5

yes

Answer 6

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

Answer 7

c

Answer 8

the intersection of the sets mentioned will be what the sets have in common

Answer 9

we did say every element of the multiples of 6 set is included in the multiples of 2 set

Answer 10

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

Answer 11

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

Answer 12

thank you

Answer 13

np