There are three sets:

A = { 1, 2, 3, 4 }

B = { 3, 5, 6, 7 }

C = { 1, 3, 7, 8 }

Find:

(A⋃ B)⋂ C

(Doh)

Printable View

- Mar 15th 2008, 09:13 PMdreamer1963finite 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) - Mar 16th 2008, 01:49 AMMoo
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. - Mar 16th 2008, 01:54 AMjanvdl
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} $