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Tasks: Sets and Subsets

Total questions: 18

Worksheet time: 22mins

Name
Class
Date
1.

TRUE or FALSE: Let A = {r, e ,d}.

1. r  ϵ   Ar\ \ \epsilon\ \ \ A   

a)

TRUE

b)

FALSE

2.

TRUE or FALSE: Let A = {r, e ,d}.

2. 1  ϵ   A1\ \ \epsilon\ \ \ A   

a)

TRUE

b)

FALSE

3.

TRUE or FALSE: Let A = {r, e ,d}.

3. {d}    A \left\{d\right\}\ \ \subseteq\ \ A\   

a)

TRUE

b)

FALSE

4.

TRUE or FALSE: Let A = {r, e ,d}.

4. {e}    A \left\{e\right\}\ \ \subseteq\ \ A\   

a)

TRUE

b)

FALSE

5.

TRUE or FALSE: Let A = {r, e ,d}.

5. {r,e,d}   A \left\{r,e,d\right\}\ \subset\ \ A\   

a)

TRUE

b)

FALSE

6.

TRUE or FALSE: Let A = {r, e ,d}.

6. { }   A \left\{\ \right\}\ \subseteq\ \ A\   

a)

TRUE

b)

FALSE

7.

7.  List all the elements in A = {letter in the word “yellow”}.

a)

A = {y,e,l,l,o,w}

b)

A = {y,e,l,o,w}

c)

A = {y,l,,w}

d)

A = 

8.

8.   Which symbol completes the statement correctly? {4} _____ {2, 4, 6}

a)

ϵ\epsilon  

b)

\subset  

c)

==  

d)

⊄\not\subset  

9.

9.    Which of the following is a well-defined set?

a)

{a famous celebrity}

b)

{a popular movie}   

c)

{a favorite drink}

d)

{a Math book in the library}

10.

10.    Which of these sets is equal to {L,O,V,E} ?

a)

{O,V,E}

b)

{O,E,L,V}     

c)

{S,E,V,O,L}

d)

{L,E,V}

11.

11.     Describe the set in words: {2,3,5,7,11}

a)

{x | x is prime number less or equal to 11}

b)

{x | x is odd number less or equal to 11}

c)

{x | x is whole number less or equal to 11}

d)

{x | x is prime number less 11}

12.

12.     Consider B = {vowels in the word “MATHEMATICS”}. Find n(B).

a)

4

b)

3

c)

7

d)

10

13.

13.     Write {even whole numbers between 3 to 15} using the roster method.

a)

{3,5,7,9,11,13,15}

b)

{5,7,9,11,13}

c)

{4,6,8,10,12,14}

d)

{2,4,6,8,10,12,14,16}

14.

14.     Consider C={1,2,3}. How many subsets does it have?

a)

4

b)

3

c)

8

d)

16

15.

15.     Which of the following would be an empty set?

a)

months with 29 days

b)

counting numbers less than 5

c)

triangles with 4 sides

d)

days of the week that starts with letter T

16.

16. Which of the following is a finite set?

a)

The set of all whole numbers

b)

The set of all stars in the universe

c)

The set of soldiers in the Philippine army

d)

The set of counting numbers greater than 10

17.

Answer: Let U = {a, b, c, d, e} A= {b, c, d} B = {c, d, f}

1.     Is A an improper subset of U? Give a reason for your answer.

4 lines
18.

2.  Is B a subset of U? Give a reason for your answer.

4 lines