Question

A school held a creative art competition in three categories. In the Venn diagram below X represents the set of children who participated in origami, Y represents the set of children who made collages, and Z represents the set of children who made posters.

Answer 1

Venn diagram? Question?

Answer 2

Based on the diagram, which of the following represents the number of children in the set
~Z ∩ (X ∩ Y)?

{g, h, k}

{g, h, k, n}

{g, h, k, n, I, j}

{g, h, k, n, l, m, a, b}

Answer 3

Can you do just this part?
(X ∩ Y)

Answer 4

{g, h, k}

Answer 5

Are you answering my question or the problem?

Answer 6

did i do it wrong? or ?

Answer 7

I don't know what your answer is. You answered {g, h, k}.
Are you answering your problem's question, or are you answering my question?

Answer 8

your question was:
Can you do just this part? (X ∩ Y)

my answer was :
{g, h, k}

Answer 9

Ok. Now I understand.
Since you are just doing the intersection of X and Y, ignore set Z. Notice that n is also inside both X and Y, so n also needs to be included.

Answer 10

X ∩ Y = {g, h, k, n}

Answer 11

Ok?

Answer 12

so...its just that?

Answer 13

That's just X ∩ Y.
Do you know what ~Z means?

Answer 14

no idea

Answer 15

..?

Answer 16

It means all elements that are not in Z

Answer 17

That means ~Z = {m, l, g, k, h, a, b}

Answer 18

Since you need ~Z ∩ (X ∩ Y), you are looking for
{m, l, g, k, h, a, b} ∩ {g, h, k, n}
The answer is the set contining the common elements, the elements of both sets.

Answer 19

so {g, h, k} . ?

Answer 20

@mathstudent55

Answer 21

yes