Practice the set of questions given in the worksheet on properties of a set.
1. State which of the following are true:
(i) 2 ∈ N
(ii) 0 ∈ N
(iii) 2 ∉ I
(iv) 0 ∈ I
(v) 5 ∉ W
(vi) 7 ∈ W
2. Let A = {1, 3, 5, 7, 9}. Insert A or ∈ or ∉.
(i) 1 ______ A
(ii) 6 ______ A
(iii) 9 ______ A
(iv) 2 ∉ ______
(v) 3 ∈ ______
3. State which of the following are false:
(i) a ∈ {a, e, i, o, u}
(ii) v ∈ {a, e, i, o, u}
(iii) 2 ∉ {x  x is an even number}
(iv) {p} ∈ {p, q, r}
(v) {p, q} ∉ {p, q, r}
4. If set A = {2, 3, 4, 5, 6}.
State, whether the following statements are true or false:
(i) 2 ∈ A
(ii) 5, 6 ∈ A
(iii) 3, 4, 7 ∈ A
(iv) 2, 8 ∈ A
5. (i) 5 ∈ B
(ii) 12 ∈ B
(iii) 14 ∈ B
(iv) 9 ∈ B
(v) B is a set of even numbers between 2 and 16.
(vi) 4, 6 and 10 are members of the set B.
6. Two sets P and Q are given as follows:
P = {3, 5, 7, 9, 11, 13} and Q = {8, 10, 12, 14, 16, 18}
State, given reasons, which of the following are true:
(i) 13 ∈ P, 9 ∈ P but 13 + 9 ∉ P.
(ii) 5 ∈ P, 7 ∈ P and 5 + 7 ∈ Q.
(iii) 3 ∈ P, 13 ∈ P but 13  3 ∉ Q.
(iv) 7 ∉ Q, 9 ∉ Q but 7 + 9 ∈ Q.
Answers for the worksheet on properties of a set are given below to check the exact answers of the above questions related to set.
Answers:
1. (i) True
(ii) False
(iii) False
(iv) True
(v) True
(vi) True
2. (i) ∈
(ii) ∉
(iii) ∈
(iv) A
(v) A
3. (i) True
(ii) False
(iii) False
(iv) False
(v) True
4. (i) True
(ii) True
(iii) False
(iv) False
5. If set B = {4, 6, 8, 10, 12, 14}.
State, which of the following statements are correct and which are wrong and also write the wrong statements correctly:
(i) Wrong; 5 ∉ B
(ii) Correct
(iii) Correct
(iv) Wrong; 9 ∉ B
(v) Correct
(vi) Correct
6. (i) True : 13 + 9 = 22, which is not in set P.
(ii) True : 5 + 7 = 12, which is in set Q.
(iii) False.
(iv) True : 7 + 9 = 16, which belongs to set Q.
● Sets and Venndiagrams Worksheets
● Worksheet on Elements Form a Set
● Worksheet to Find the Elements of Sets
● Worksheet on Properties of a Set
● Worksheet on Sets in Roster Form
● Worksheet on Sets in Setbuilder Form
● Worksheet on Finite and Infinite Sets
● Worksheet on Equal Sets and Equivalent Sets
● Worksheet on Union and Intersection of Sets
● Worksheet on Disjoint Sets and Overlapping Sets
● Worksheet on Difference of Two Sets
● Worksheet on Operation on Sets
● Worksheet on Cardinal Number of a Set
Math Home Work Sheets
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