Question

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6. If A = {positive integers divisible by 2} and B = {integers}, what is A ∩ B? (5 points)
{ }
{2, 4, 6, 8 ...}
{2, 4, 6, 8, 10}
{1, 2, 3, 4, 5 ...}

Answer 1

A = even integers > 0, B = all integers, then the intersection of A and B is the set containing all elements in A and B. Since the set A is contained in the set B (by definition), the intersection of the two sets is the set A itself ( {2, 4, 6, 8, ... } )

Answer 2

why wouldnt it be { 2, 4, 6 , 8 , 10} ?

Answer 3

it would, but it's important to note that the set continues past 10, as long as you include "..." after (and inside { } ) then that's correct