Page 156 - Mathematics_Form_Two

Sets

10. A ={a, b, c, d}, B = {d, e}, 18. For each of the following pairs
and C ={ } of sets, find their union and

11. Find the intersection of the sets, intersection:
=
A={a, b, c, d} and B={1, 2, 3, 4}. (a) A = {2, 4, 6}, F {4, 6, 8, 10}
12. If  ={1, 2, 3, 4, 5, 6, 7, 8}, (b) Y = {x : 2 < x ≤ 8, x  N},
FOR ONLINE READING ONLY
Mathematics for Secondary Schools 13. If  ={mango, orange, tomato, 19. Given that = {a, b, c, d, e, f},
A = {1, 2, 3, 4}, and B ={1, 3, 7},
W ={x : 7 ≤ x < 11, x  N}
find A′ and B′.
A = {a, b, c} and B = {a, d, e, f}.
cabbage}, A′={mango, tomato},

Find each of the following:
list the elements of A.
(b) A∪B
(a) A∩B

14. If A = {1, 3, 5, 7, 8} and
B ={2, 4, 6, 8, 10}, list the element
(e) A′∩B′
(f) A′∪B′
of A∪B. (c) A′∩B (d) A∩B′
15. If ={red, green, blue, black, 20. Suppose = {1, 2, 3, 4},
white}, find A′ if A ={green, A = {1, 2}, and B = {2, 4}. Find
white, black}.
(a) A′∪B (b) (A′)′
16. Given that  ={1, 2, 3, 4, 5, 6, 7}
=
and A={1, 2, 3, 4} and B {3, 4, ( c) (A∩B)′
5, 6}. Find each of the following: 21. Suppose A = {2, 4, 6, 8} and
(a) A′∩B (b) n(A∩B′) A′ = {5, 9}, list the elements of .
(c) B′∪A′ (d) B∪A′ 22. Two sets A and B are subsets of a

(e) (A∪B)′ universal set µ such that ( ) 15,n µ =

17. Given the universal set n (A) 6,= and (B')n = 4. Find:
= {0, 1, 2, 3, 4, 5, 6, 7}. If (a) ( ) (b) ( )
B
n
n
A′
A ={0, 1, 3} and B = {5, 6, 7}.
Write T for a true statement and 23. If µ ={− 4,− 3,− 2,−1, 0, 1, 2,
F for a false statement in each of 3, 4, 5, A= { 2, 0, 2, 4, 5 ,− } and
the following:
(a) A′ = B B={− 4, − 3, − 2, 0, 1, 3}:
(b) A′∪B′ ={1, 2, 3, 4, 5, 6, 7} (a) List the elements of each of the

(c) A′∩B′ =(A∪B)′ following sets:
(d) n(A∩B) =1 (i) A′ (ii) B′

(e) n(A′∪B′) = 9 (iii) A′ B′∪ (iv) A ∩ B
(f) n(A∩B′) + n(A∩B) =n(A) (v) A ∩ B′

150
Student's Book Form Two

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MATHEMATIC F2 v5.indd 150 11/10/2024 20:13:24
MATHEMATIC F2 v5.indd 150