Question

Please help! Is U= {0,1,2,3,4,5,6,7,8,9}, A={1,3,5,7}, B={2,3,4,6}, C={0,2,4,6,8,9} find:
(A ∩ B)' \\ A' ∩ B' \\ (A U B)' \\ A' U B'
(A ∩ B) U C \\ (A U B) ∩ C \\ A' ∩ (B U C)
and lastly, (A U B)' ∩ C'

Answer 1

please help!

Answer 2

Are you able to find the set `A '` ? This is the complement of set A

Answer 3

Not sure. I'm really lost.

Answer 4

ok, you start with the universal set U= {0,1,2,3,4,5,6,7,8,9}

Answer 5

now go through this universal set and erase any number you find in set A

Answer 6

so you'll erase 1,3,5,7

Answer 7

U= {0,1,2,3,4,5,6,7,8,9}

A = {1, 3, 5, 7}
A ' = {0, 2, 4, 6, 8, 9}

hopefully that makes sense?

Answer 8

the idea is that a number is either in set A, or it is not in set A

if it's not in set A, then it's in the set `A '` (complement of set A)

so that's why I kicked out the numbers found in set A

Answer 9

Here's how to see it in terms of a venn diagram

first start off with a rectangle. This is going to be the universal set U

Answer 10

now fill up set U with the numbers given

U= {0,1,2,3,4,5,6,7,8,9}

Answer 11

set A is some subset of set U

A = {1, 3, 5, 7}