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4. (a) y = 11 (b) 51 (ii) E = {(Q, P), (Q, R), (Q, W), (R, V), (S, T), (S, U),
(U, V), (V, W)}
Praktis Kendiri 4.3c n(E) = 8
1. 39 (iii) 16
2. k = 4 (c) (i) V = {A, B, C, D, E, F}
n(V) = 6
3. 12 (ii) E = {(A, B), (A, F), (B, C), (B, E), (C, D), (C, E),
4. (a) 41 (b) 25 (c) 7 (D, E), (E, F)}
n(E) = 8
(iii) 16
1. (a) P ù Q = {3, 5} 2. (a) (i) V = {A, B, C, D, E}
(b) P ù R = {3} n(V) = 5
(c) P ù Q ù R = {3} (ii) E = {(A, B), (A, B), (A, E), (B, C), (B, D),
(d) (P ù Q ù R)' = {2, 5, 6} (B, E), (C, C), (C, D), (D, E), (D, E)}
2. (a) M ø N = {a, b, d, i, k, u} n(E) = 10
(b) M ø P = {a, b, e, i, k, n, r} (iii) 20
(c) M ø N ø P = {a, b, d, e, i, k, n, r, u} (b) (i) V = {O, P, Q, R, S, T, U}
3. (a) P (b) P n(V) = 7
Q R Q R
(ii) E = {(P, U), (P, U), (U, T), (U, T), (P, Q), (P, O),
(Q, R), (Q, R), (Q, O), (R, R), (R, S), (R, S),
P ù Q P ø R (R, O), (S, O), (S, T), (T, O), (U, O)}
4. (a) T' = {1, 3, 5, 6, 8} n(E) = 17
(b) S ø T = {2, 4, 5, 6, 7, 8, 9} (iii) 34
(c) S' ù T = {2, 4, 9} 3. (a) 1 2 3 4 (b) P Q R
(d) (S ø T)' = {1, 2, 3, 4, 5, 6, 8, 9}
5. A' = {d, e, f, h, i}
6. (a) Q' = {11, 12, 13, 14, 16, 17, 18, 19, 21, 22, 23, 24, 6 5 S
26, 27, 28, 29} U T
(b) P ø R' = {10, 11, 13, 14, 15, 16, 17, 18, 19, 20, 4. (a) (b) 2
21, 22, 23, 25, 26, 27, 28, 29, 30} P Q
(c) (P ø R)' ù Q = {10, 15, 20, 25, 30} 1 5 3
7. (a) B (b) B S R
A C A C
4
5. (a) (b)
A ù (B ø C) C ø (A ù B)'
8. 39
9. 31
10. 6
11. (a) 8 (b) 11 (c) 54 6. (a) (b)
12. (a) 8 (b) 5 (c) 7 (d) 2
13. 50
BAB 5 Rangkaian dalam Teori Graf
Praktis Kendiri 5.1a Praktis Kendiri 5.1b
1. (a) (i) V = {1, 2, 3, 4, 5}
n(V) = 5 1. (i) Tepi ditanda dengan arah.
(ii) E = {(1, 2), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (ii) Penulisan pasangan bucu adalah mengikut arah
(4, 5)} pada tepi.
E = {e 1 , e 2 , e 3 , e 4 , e 5 , e 6 , e 7 } 2. Suatu nilai atau maklumat yang mengaitkan bucu.
n(E) = 7
(iii) 14
(b) (i) V = {P, Q, R, S, T, U, V, W} Saiz sebenar
n(V) = 8
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