Page 23 - Math 7

Set

5. a) If A = {a, e, i, o, u} and B = {a, b, c, d, e}, find: (i) A ‰ B (ii) A ˆ B
(iii) A – B, (iv) B – A and show these operations in Venn-diagrams.

b) If P ={1, 3, 5, 7, 9} and Q = {1, 3, 6, 9, 18}, find: (i) P ‰ Q (ii) P ˆ Q
(iii) P – Q (iv) Q – P and show these operations in Venn-diagrams.

c) If M = {1, 2, 3, 6} and N = {factor of 8}, find: (i) M ‰ N (ii) M ˆ N
(iii) M – N (iv) N – M and show these operations in Venn-diagrams.

d) If A = {x : x ≤ 5, x  N} and B = {2, 4}, find: (i) A ‰ B (ii) A ˆ B
(iii) A – B (iv) B – A and show these operations in Venn-diagrams.
6. a) If U = {1, 2, 3, 4, … 15}, A = {1, 2, 3, 4, 5, 6} and B = {2, 4, 6, 8, 10, 12},
find: (i) A (ii) B and show them in Venn - diagrams.

b) If U = {1, 2, 3, ... 10}, P = {1, 4, 9} and Q = {2, 3, 5, 7}, find:
(i) P (ii) Q and show these operations in Venn-diagrams.

7. a) If U = {1, 2, 3, ... 10}, A = {2, 4, 6, 8}, and B = {2, 3, 5}, find:

(i) A ‰ B (ii) A ‰ B and show these operations in Venn-diagrams.

b) If U = {1, 2, 3, ... 12}, A = {3, 6, 9, 12}, and B = {2, 4, 6, 8}, find:

(i) A ˆ B (ii) A ˆ B and show these operations in Venn-diagrams.
c) If U = {1, 2, 3, ... 10}, A = {1, 2, 4, 8}, and B = {2, 4, 8, 10}, find:

(i) A – B (ii) A –B and show these operations in Venn-diagrams.

d) If U = {1, 2, 3, ... 10}, A = {1, 2, 4, 8}, and B = {2, 4, 8, 10}, find:

(i) B – A (ii) B – A and show these operations in Venn-diagrams.

U
8. From the given Venn – diagram, list the elements of X Y
the following sets. 1
2
3 9
a) U b) X ‰ Y and X ‰ Y c) X ˆ Y and X ˆ Y 4 5
6 7 11
8
d) X – Y and X Y e) Y – X and Y X 10 12 13 14 15

Creative Section - B
9 . If U = { 1, 2, 3, ... 12}, A = { 3, 4, 5, 6, 7}, B = { 2, 4, 6, 8, 10 } and
C = { 2, 3, 4, 6, 12}, list the elements of the following set operations.

a) A ‰ B ‰ C and A ‰ B ‰ C b) A ˆ B ˆ C and A ˆ B ˆ C
c) (A ‰ B) ˆ C d) (A ˆ B) ‰ C

Approved by Curriculum Development Centre, Sanothimi, Bhaktapur 21 Vedanta Excel in Mathematics - Book 7