Venn Diagram

[JSmith]

a) What is the value of

?
4.

b) What is the value of

?
I have no idea what this notation even means.. help??

 

[Unknown008]

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?

 

[soroban]

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?

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