Question

If A = {positive integers divisible by 2} and B = {integers}, what is A ∩ B?

{ }

{2, 4, 6, 8 …}

{2, 4, 6, 8, 10}

{1, 2, 3, 4, 5 …}

Answer 1

the answer is A

Answer 2

@TheMind No. @Gabylovesyou do you know what the intersection operator means?

Answer 3

no i don't @vf321

Answer 4

{2, 4, 6, 8 …}

Answer 5

Okay. The intersection operator \(\cap\) means, quite literally, the intersection of the venn diagrams which represent each set that's being operated on.

Answer 6

intersection indicates comon elements among the two sets so

Answer 7

So \(\left\{ 1,2,3 \right\}\cap\left\{ 3,4,5\right\}=\left\{ {3} \right\}\)

Answer 8

Do you see why? If you draw the Venn diagrams,

3 is the only one in the middle.

Answer 9

a={2,4,6,8,10,12,14....}
b={1,2,3,4,5,6,7...}
a intersection b={2,4,6,8,10....}

Answer 10

@shaik0124 how so?

Answer 11

intersection gives common elments among two sets

Answer 12

kk @vf321

Answer 13

@Gabylovesyou if your question was answered please close the question (top-left corner, under "Mathematics")

Answer 14

it wasnt @vf321 i still dont know which one

Answer 15

OKay lets work through this. Do you have an understanding of what an intersection is now?

Answer 16

yes

Answer 17

Okay. Do you agree that the set of all integers looks like this:\[\left\{...-2,-1,0,1,2,...\right\}\]?

Answer 18

yessssss

Answer 19

okay. Good. Now I have a quick question for you. Do you agree that "all positive integers divisible by 2" are also integers? 'Cause that means that the set which contains the former is a SUBSET of the latter.

Answer 20

Or, in Venn diagrams, with A = All integers, and B = All positive ints divisible by 2, do you see why: