Venn Diagram

a) What is the value of ?
4.

b) What is the value of ?
I have no idea what this notation even means.. help??

First one: correct.

Second one:
Find first \(\displaystyle B \cap D\)

Then find the intersection of that set above with set C.

And count the number of elements in that resulting set.

Does that help?

Hello, JSmith!

View attachment 2753

\(\displaystyle \text{(a) What is the value of }n(A \cap B)\,?\;\;4\) . Right!


\(\displaystyle \text{(b) What is the value of }n\big[(B \cup D) \cap C\big]\,?\)

I have no idea what this notation even means. . You don't?

Click to expand...

It means: .(Everything in sets B and D) intersected with (set C)

We see that it has the regions labeled 3, 6, 2, 3.

Therefore: .\(\displaystyle n\big[(B \cup D) \cap C\big] \:=\:3+6+2+3 \:=\:14\)