REPRESENTATION OF A SET WORKSHEET

Questions 1-10 : Write the given set in roster form.

Question 1 :

A is the the set of first ten whole numbers.

Question 2 :

B is the set of letters in the word "calculus".

Question 3 :

C is the set of all three-digit numbers which can be formed with the digits 1, 3 and 5 without repetition of digits in any number.

Question 4 :

D is the set of even numbers between 0 and 10 both inclusive.

Question 5 :

E is the set of all three-digit positive numbers which are divisble by 5.

Question 6 :

F is the set of days in a week.

Question 7 :

G is the set of zeros of the equation x² - 5x + 6 = 0.

Question 8 :

H is the set of non-negative integers.

Question 9 :

I is the set of first n natural numbers.

Question 10 :

J is the set of first five prime numbers.

Question 11-20 : Write the given set in set-builder form.

Question 11 :

A is the the set of zeros of the following equation.

x³ - 5x² - 9x + 45 = 0

Question 12 :

B is the set of even numbers between 11 and 21.

Question 13 :

C is the set of integers greater than or equal to 6 and less than or equal to 12.

Question 14 :

D is the set of integers less than or equal to 6 or greater than or equal to 12.

Question 15 :

E is the set of integers greater than or equal to -5.

Question 16 :

F is the set of integers less than or equal to -2.

Question 17 :

G is the set of prime numbers between 10 and 20.

Question 18 :

H is the set of all solutions of x² - 4 = 0.

Question 19 :

I is the set of days in a week starts with T.

Question 20 :

J is the set of months in a year starts with J.

Problems 21-30 : Write the given set in descriptive form.

Question 21 :

A = {2, 4, 6, 8, 10}

Question 22 :

B = {7, 14, 21, 28, 35}

Question 23 :

C = {123, 132, 213, 231, 312, 321}

Question 24 :

D = {rst, rts, srt, str, trs, tsr}

Question 25 :

E = {-2, 2}

Question 26 :

F = {2, 3}

Question 27 :

G = {(x + 1), (x + 3)}

Question 28 :

H = {1 + i, 1 - i}

Question 29 :

I = {e, x, a, m, i, n, t, o}

Question 30 :

J = {January, February, March, April, May, June, July, August, September, October, November, December}

Answers

1. Answer :

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

2. Answer :

B = {c, a, l, u, s}

3. Answer :

C = {135, 153, 235, 253, 315, 351}

4. Answer :

D = {2, 4, 6, 8, 10}

5. Answer :

E = {100, 105, 110,...........,995}

6. Answer :

F = {Sunday, Monday, Tuesday, Wednesday, Thursday, Friday, Saturday}

7. Answer :

G = {2, 3}

8. Answer :

H = {0, 1, 2, 3, ...........}

9. Answer :

I = {1, 2, 3, ...........,n}

10. Answer :

J = {2, 3, 5, 7, 11}

11. Answer :

A = {x : x³ - 5x² - 9x + 45 = 0}

12. Answer :

B = {x : x = 2k, k is an integer such that 5 < k < 11}

13. Answer :

C = {x : x is an integer such that 5 ≤ x ≤ 11}

14. Answer :

D = {x : x is an integer such that x ≤ 6 or x ≥ 12}

15. Answer :

E = {x : x is an integer such that x ≥ -5}

16. Answer :

F = {x : x is an integer such that x ≤ -2}

17. Answer :

G = {x : x is a prime number such that 10 < x < 20}

18. Answer :

H = {x : x² - 4 = 0}

19. Answer :

I = {x : x is a day in a week starts with T}

20. Answer :

J = {x : x is a month in a year starts with J}

21. Answer :

A is the set of even numbers between 1 and 11.

22. Answer :

B is the set of first five positive multiples of 7.

23. Answer :

C is the set of all three digit numbers which can be formed with the digits 1, 2, and 3 without repetition of digits in any number.

24. Answer :

D is the set of all possible arrangements of the letters r, s and t.

25. Answer :

E is the set of all zeros of the equation x² - 4 = 0.

26. Answer :

F is the set of all zeros of the equation x² - 5x + 6 = 0.

27. Answer :

G is the set of all factors of the expression x² + 4x + 3.

28. Answer :

H is the set of all zeros of the equation x² - 2x + 2 = 0.

29. Answer :

I is the set of letters in the word "examination".

30. Answer :

J is the set of months in a year.

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