FINITE AND INFINITE SETS WORKSHEET

Identify each of the following sets as finite or infinite.

1)  The set of all positive even numbers.

2)  The set of all whole numbers less than 20.

3)  The set of all positive integers which are multiples of 3.

4)  The set of all odd natural numbers less than 15.

5)  The set of all letters in the word ‘computer’.

6)  A  =  {x : x ∈ N, 2 < x ≤ 10}.

7)  B  =  {x : x ∈ Z, (-1/2) < x < 11/2}.

8)  C  =  {x : x is a prime number and a divisor of 6}.

9)  D  =  {x : x = 2ⁿ, n ∈ N and n ≤ 5}.

10)  E  =  {x : x = 2y - 1, y ≤ 5 y ∈ W}.

11)  F  =  {x : x is an integer, x² ≤ 16}.

12)  A  =  {a, e, i, o, u}.

13)  B  =  {1, 3, 5, 7, 9, 11}.

14)  C  =  {1, 2, 3, 4, 5, ......................}.

15)  P  =  {x : x is a letter in the word ‘set theory’}.

16)  Q  =  {x : x is a whole number}.

17)  {x : x is a positive even number}.

18)  {x : x is a whole number and x < 20}.

19)  {x : x is a positive integer and multiple of 3}.

20)  {x : x is an odd natural number and x < 15}.

21)   {x : x is a letter in the word 'computer'}.

22)  A = {3, 4, 5, 6, 7, 8, 9, 10}.

23)  B =  {0, 1, 2, 3, 4, 5}.

24)  C  =  {2, 3}.

25)  D  =  {2, 4, 8, 16, 32}.

26)  E  =  {-1, 1, 3, 5, 7, 9}.

27)  F  =  {-4, -3, -2, -1, 0, 1, 2, 3, 4}.

28)  A is the set of all vowels in the English alphabet.

29)  B is the set of all natural numbers greater than 1.

30)  C is the set of all integers less than 0.

31)  P is the set of all letters in the word ‘set theory’.

32)  Q is the set of all prime numbers between 10 and 20.

Answers

1)  Infinite

2)  Finite

3)  Infinite

4)  Finite

5)  Finite

6)  Finite

7)  Finite

8)  Finite

9)  Finite

10)  Finite

11)  Finite

12)  Finite

13)  Finite

14)  Infinite

15)  Finite

16)  Infinite 

17)  Infinite

18)  Finite

19)  Infinite

20)  Finite

21)   Finite

22)  Finite

23)  Finite

24)  Finite

25)  Finite

26)  Finite

27)  Finite

28)  Finite

29)  Infinite

30)  Infinite

31)  Finite

32)  Finite

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