finite math venn diagram

There are three sets:
A = { 1, 2, 3, 4 }
B = { 3, 5, 6, 7 }
C = { 1, 3, 7, 8 }

Find:


(A⋃ B)⋂ C
(Doh)

Hello,

Just write (A⋃ B), which will be composed of all elements of A and all elements of B.
x € A⋃B means that x is in A OR in B (non-exclusive or, so it can be in A and B)

Then, (A⋃ B)⋂ C will be any elements which are in (A⋃ B) AND in C.

Quote:

---

Originally Posted by dreamer1963

There are three sets:
A = { 1, 2, 3, 4 }
B = { 3, 5, 6, 7 }
C = { 1, 3, 7, 8 }

Find:


(A⋃ B)⋂ C
(Doh)

---

I like doing these problems step by step.

Lets first find the elements of $\displaystyle A \cup B $

$\displaystyle A \cup B = {1 ; 2 ; 3 ; 4 ; 5 ; 6 ; 7}$

Now let's find the elements which appear in both $\displaystyle (A \cup B) $ and $\displaystyle C $

$\displaystyle (A \cup B) \cap C = {1 ; 3 ; 7} $