Page 24 - Math 7
P. 24
Set
10. If U = {x : x ≤ 15, x N}, A = {even numbers less than 15}, and
B = {factors of 12}, list the elements of the following set operation:
a) A (A B) b) A (A B) c) A – (A B) d) B – (A B)
e) A B f) A B g) A B h) A B
11. If A = { 1, 2, 3, 4, 5}, B = { 1, 3, 5, 7}, and C = { 2, 3, 5, 7 }, show that:
a) A (A B) = A B b) B (A B) = B A
c) A (B C) = (A B ) C d) (A B ) C = A ( B C)
12. a) If F and F denote the sets of all possible factors of 6 and 8 respectively,
6 8
list the elements of F and F , then find F F
6 8 6 8 .
b) F and F are the sets of all possible factors of 12 and 18 respectively.
18
12
List the elements of F F
12
18
13. a) If M and M denote the sets of the first six multiples of 6 and 8
6 8
respectively, list the elements of M and M and find M M .
6 8 6 8
b) M and M are the sets of the first five multiples of 5 and 10 respectively.
5 10
List the elements of M M
5 10
It's your time - Project work!
14. Let's make groups of 10 students and conduct a survey in your class to find how
many students like apple or orange in each group. Then make two separate sets
of students who like apple or orange and answer the following questions.
a) Make a set of students of each group who like apple or orange.
b) Make a set of students of each group who like apple as well as orange.
c) Make a set of students of each group who like only apple.
d) Make a set of students of each group who like only orange.
e) Are there any students in your group who do not like apple or orange? Make
a set to show these students.
15. Write a universal set 'U' of the natural numbers from 1 to 15. Write any two
overlapping subsets 'A' and 'B' of this universal set U. Then, draw Venn-diagrams
to show the members of the following set operations by shading to show the
members of the following set operations by shading.
a) A B b) A B c) A – B d) B – A e) A B
f) A B g) A – B h) B – A i) A j) B
Vedanta Excel in Mathematics - Book 7 22 Approved by Curriculum Development Centre, Sanothimi, Bhaktapur
