Page 12 - ADVANCED MATH F.5
P. 12
Form Five Form Five
11. M ∩ N = { }
12. Disjoint sets
13. M′ = {5,6,7,8,9,10,11,12 }
FOR ONLINE READING ONLY
N′ = {2,4,5,6,8,10,12 }
14. A = {Orange,cabbage,pineapple }
}
15. A∪ = { 1, 2, 3, 4, 5, 6, 7, 8, 9, 10
B
{3, 4, 7, 8, 9,10, 11, 12, 139,10, 11, 12, 13
16. (a) A∩ B′ = { } 4 (c) B′ A′∩ (c) B′ (c) B′ {3, 4, 7, 8,= A′∩ = A′∩ = {3, 4, 7, 8, 9,10, 11, 12, 13}} }
3,
}
7,8
B
(b) B A′ = {5, 6, 7, 8, 9, 10,11,12,13 (d) A′∩ = { }
∪
17. (a) F (b) T (c) F (d) F
}
18. A′ = {magenta,red,blue
}
}
B
19. (a) A∩ = { ,,ad e (d) A∩ B′ = { ,,bc f
(b) A∪ = { , , , ,,ab c d e f } (e) A′ B′∩ = {g, h, i, j }
B
(c) A′∩ = { } (f) A′ B′∪ = {b, c, f, g, h, i, j }
B
20. (a) A ∪= {22,24,26,28,30 } (b) Y∪ W = {2 x<< 23 }
F
F
A ∩= {24,26 } Y∩ W = {7 x≤≤ 18 }
}
13
21. (a) A B− = { } (b) B A− = { 16,17,18
22. (a) M K− = {32,42 } (b) K M− = {33,35,37 }
(c) (M K− ) (K M∪ − ) {32,33,35,37,42= }
}
}
23. (a) P R− = {8,10,12 (b) R P− = { 14,16,18
(c) Q P− = { 14,16,18,20,22 }
′
24. (a) B A− = {3,5,9 } (b) (A B− ) { 1, 3, 5, 9, 11, 17, 19= }
}
25. X Y− = {2,4,6,8,10
26. x = 9, y = 12 or x = 12, y = 9.
6
Mathematics for Advanced Secondary Schools
30/06/2024 18:01:41
ADVANCED MATH F.5 TG CHAPTERS.indd 6 30/06/2024 18:01:41
ADVANCED MATH F.5 TG CHAPTERS.indd 6