SETS
SET REVIEW
Now we're going to try something completely different.
Below is a list of problems.
Under each of the problems is a list of options for you to select from.
Choose what you think is the correct answer, and you'll be told whether or not your selection was correct.
Next to each problem is a link taking you to the section that problem uses. Click on the link if you want to go back for a review.
Unlike the exercises, prior to now, you'll only have one chance to choose the correct answer

Ready? here goes

The first four exercises use the following sets
The inventory of store 1 is given by the set named A.
A={Computers, Printers, Scanners, Computer paper, Ink refill cartridges, Floppy discs, Compact Discs, Software}
The inventory of store 2 is given by the set named B.
B={Paper clips, Staplers, Staples, Notepads, Computers, Printers, Copiers, Computer paper, Copier paper, Ledgers}

Problem 1
Which of the following is true
[Elements]

Choices
Computers Î A, but Computers Ï B
Paper clips Î A, and Paper clips Î B
Staples Î A, but Staples Ï B
Scanners Î A, but Scanners Ï B
"None of the above"

Problem 2
What do the two stores have in common?
[Intersection]

Choices
{Computers, Printers, Scanners}
{Computers, Printers, Computer & Copier Paper}
{Computers, Printers, Computer Paper}
{Computers}
None of the above

Problem 3
If the two stores merge, what will it's inventory be?
[Union]

Choices
{Computers, Printers, Scanners, Computer paper, Ink refill cartridges, Floppy discs, Compact Discs, Software, Staplers, Staples, Notepads, Copiers, Copier paper, Ledgers}
{Computers, Printers, Scanners, Computer paper, Ink refill cartridges, Floppy discs, Compact Discs, Software, Paper clips, Staplers, Staples, Notepads, Computers, Printers, Copiers, Computer paper, Copier paper, Ledgers}
{Ink refill cartridges, Floppy discs, Compact Discs, Software, Paper clips, Staplers, Staples, Notepads, Computers, Printers, Copiers, Computer paper, Copier paper, Ledgers}
{Scanners, Ink refill cartridges, Floppy discs, Compact Discs, Software, Paper clips, Staplers, Staples, Notepads, Computers, Printers, Copiers, Computer paper, Copier paper, Ledgers}
None of the above

Problem 4
A third store has just opened up. We'll designate their inventory by the set C.
C = {Floppy discs, Compact discs, Paper clips, Staplers, Staples, Notepads, Computers, Printers, Copiers, Computer paper, Copier paper, Ledgers}
Which of the following statements is true?
[Subsets]

Choices
C Ì A
C Ì B
A Ì C
B Ì C
None of the above

The next four exercises use the following sets

A={a,b,c,d,e}
B={w,x,y,z}
C={a,e,i,o,u}

Problem 5
Which of the following is true
[Elements]

Choices
a Î A ; a Ï B ; a Ï C
w Î A ; w Î B ; w Ï C
e Î A ; e Ï B ; e Ï C
i Ï A ; i Ï B ; i Ï C
"None of the above"

Problem 6
(A Ç C) È B
[Intersection and Union]

Choices
{a,e,w,x,y,z}
{a,b,c,d,e,w,x,y,z}
{a,e,i,o,u,w,x,y,z}
{w,x,y,z}
None of the above

Problem 7
(A È B) È C
[Union]

Choices
{a,e,i,o,u,w,x,y,z}
{a,b,c,d,e,w,x,y,z}
{a,b,c,d,e,i,o,u,w,x,y,z}
{a,b,c,d,e,u,w,x,y}
None of the above

Problem 8
(A Ç B) Ç C
[Intersection]

Choices
{a,e}
{a,e,w}
{a,w}
{Æ}
None of the above

Problem 9
A={set of all books} B={set of all the published works of Charles Dickens} C={set of all the published works of Mark Twain}
Which of these statements is true?
[Subsets]

Choices
B Ì C
C Ë A
B Ì A
A Ì C
None of the above

Problem 10
A={h,i,j,k,l} B={i,j,k} C={f,g,h,i,j,k,l,m,n,o} D={a,e,i,o,u}
Which of these statements is true?
[Subsets]

Choices
A Ì C and D Ì C
B Ì A and B Ì D
D Ì C and B Ë D
D Ë C and B Ë C
None of the above






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