Question

At an auto show, a car dealer asked the first 10 visitors their ages and the kinds of cars they own. The Venn diagram shows the details.

http://learn.flvs.net/webdav/assessment_images/educator_algebra1_v14/03_11_26.jpg

Based on the diagram, which of the following represents the ages of car owners in the set
(A ∩ B) ∪ (~A ∩ C) ?

a.{28, 29, 33, 47, 56}

b.{28, 29, 32, 47, 56}

c.{28, 29, 32, 33, 47, 56}

d.{28, 29, 33, 37, 47, 56}

Answer 1

First find from the diagram A intersect B ={29}
Then find
~A={28,33,37,47,56}
from which 37 is out when intersected with C. to get ~A intersect C
Combine A intersect B with ~A intersect C to get the union.

Answer 2

i dont understand how to do it

Answer 3

The set S represents the elements present in sugar.

S = {carbon, hydrogen, oxygen}

The set C represents the elements present in carbon dioxide gas.

C = {carbon, oxygen}

How many elements are in the set S ∪ C?

1

2

3

5

Answer 4

i dont understand that question eaither

Answer 5

There are a few definitions in sets that you need to get familiar with, such as
union
intersection
complement
and the notations,
example:
A={carbon, oxygen}
means the set A contains the elements carbon and oxygen only.
If
B={carbon, oxygen, hydrogen}
Then A U B is the sum of the two, with duplicate elements not repeated, so
AUB={carbon, oxygen,hydrogen}
A intersect B is a set containing elements that are common to both, so
A intersect B = {carbon, oxygen}
~A contains everything existing (i.e. all possible elements) that is NOT in A.

All this can be represented by Venn diagrams, see for example:
http://en.wikipedia.org/wiki/Venn_diagram