Page 21 - ADVANCED MATH F.5

Form Five Form Five

(ix)A ∩ (B′∪ C ) 5. (a) (B C = b,c− ) { }

}
(b) (A C =− ) {a, b, c
FOR ONLINE READING ONLY
(c) (A B= a− ) { }
}
(d) (C B =− ) {e, ,fg
(e) (B A= d− ) { }

}
(f) (C A =− ) {d, , ,ef g

7. (a) True (b) True (c) True (d) True
(e) False (f) False (g) False (h) False

{
8. (a) (i) A= 5, 10, 15, 20, 25, 30, 35, 40, 45 }
B= {4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48 }

A∩ B= {20, 40 }
{4, 5, 8, 10, 12, 15, 16, 20, 24, 25, 28, 30, 32,
A ∪
B=
A ∪ B= {4, 5, 8, 10, 12, 15, 16, 20, 24, 25, 28, 30, 32,
35, 36, 40, 44, 45, 48 } }
35, 36, 40, 44, 45, 48
(ii) A ∩ B= {positive integers less than 50, which are both multiples of 4 and 5 }

A ∩ B= {positive integers less than 50, which are both multiples of 4 and 5 }
(iii) n(A) = 9, n(B) = 12, ( n A ∩ B )=2
{
(b) A= { , ,qr s }, B= { , ,qr p }, C= , ,st q
}
10. (a) U (b) ∅ (c) A (d) B (e) A′∪
B
(f) A ∩ B′ (g) C (h) X ∪ Y′ (i) ∅ (j) A B

11. (a) ∅

14. (a) 240 (b) 504 (c) 304 (d) 40

15. (a) 11 (b) 3 (c) 12 (d) 7

15
Mathematics for Advanced Secondary Schools

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