Question

If set D is not the empty set but is a subset of set E, then which of the following is true?

D ∩ E = D
D ∩ E = E
D ∩ E = Ø

Answer 1

Hey Jake.
Do you have to pick a single answer?
It seems like we could have multiple correct answers here...
unless I'm misunderstanding the question, hmm.

Answer 2

its a single anwser

Answer 3

Ok well I guess there is one option that we can guarantee will ALWAYS be true, the other will only sometimes be true.

Answer 4

D is a subset of E,
so it's "smaller" than E.

What do they share in common?
Where is overlap? Do you see it? :d

Answer 5

no i really dont

Answer 6

lemme try drawing it another way :D

Answer 7

Since D is a subset of E,
that means that E contains all of the stuff from D.

Answer 8

So do you see how both E and D will be guaranteed to have all of D in common?

Answer 9

i see

Answer 10

If E and D are the same sets,
then there intersection is also E.
But that's only sometimes, so we can ignore that.

The intersection is ALWAYS going to contain D though.

Answer 11

ok