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 x^{2} - 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.
x^{3} - 5x^{2} - 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 x^{2} - 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}
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 : x^{3} - 5x^{2} - 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 : x^{2} - 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 x^{2} - 4 = 0.
26. Answer :
F is the set of all zeros of the equation x^{2} - 5x + 6 = 0.
27. Answer :
G is the set of all factors of the expression x^{2} + 4x + 3.
28. Answer :
H is the set of all zeros of the equation x^{2} - 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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