Question

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

{…−3, −2, −1, 0, 1, 2, 3 …}

{ }

{0}

{… −6, −4, −2, 0, 2, 4, 6 …}

Answer 1

{… −6, −4, −2, 0, 2, 4, 6 …}

Answer 2

0
A = { ....-6,-4,-2, 0, 2 , 6, .....}
B = { ...-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,......}
A ∩ B = A intersection B
i.e. A ∩ B = { all elements which belong to both A and B }
= All intengers which are divisible by 2
hence the answer
{… −6, −4, −2, 0, 2, 4, 6 …}