1B usca solucionesPg. 131. A = {(2; 3); 3; {2}} 3A Clave: b 2. P
= {x /x es un nmero par x < 10} P = {0; 2; 4; 6; 8} Clave: 3. A
= {2; 3; 5; 8} I.3 A ( V ) II.{5} A ( F ) III.{8} A ( F ) 4. P = {x
+ 6/x x < 5} P = {6; 7; 8; 9; 10} 5. A = {2; 3; 4} B = {2; 3; 4;
5; 6} I.A B( V ) II.{3} A y {5} B ( F ) III.n{A} B( V ) 6. A = {1;
3; 5; 6; 8; 10} B = {7; 5; 3; 9; 10} C = {9; 8; 5; 3; 11} A B C =
{3; 5} 7. A = {x/x+2 = 5} ; B = {y/y1 = 3} I. A < B ( F ) II. A
= 3 y B = 4 ( F ) III.A {3 ; 4} ( V ) 8. A = {2; 3; 4; 5} I.{3} A(
V ) II. {2; 5} A ( V ) III. {3 ; 4} A ( V ) IV.{2} A ( F ) V. {5;
3} A ( V ) VI.n(A) A ( F ) d
Unidad
9. A = {1; 2; 3; 4; 5; 8} B = {2; 4; 6; 8} C = {1; 3; 4; 6; 7} A
B = {1; 3; 5} B D C = {1; 3; 6; 7; 8} (A B) (B D C) = {1; 3}
Clave:
a
10. B' = {b, e, f, h, i, u} A D C = {a, e, u, b, c, h} B' (A D
C) = {a, b, c, e, f, h, i, u}
Clave:
d
11. Clave Clave: b
Clave:
c
12. Clave
Clave:
b
Clave:
c
13. n(A) = 10; n(B) = 12 n(A B) = 7 ; n(A B) = 22 75 = 15 Clave:
14. n(B A) = 3 ; n(A D B) = 7 n(A B) = 15 ; n(A B) = ??
a
Clave:
d
Clave:
c
15. A = {6; 10; 14} B = {1; 5; 7} C = {5; 7; 11} (C D B) = {1;
11} (C D B) A = 6
Clave:
cSOLUCIONARIO
Clave:
a 16. (x2 + 1 ; 2y + 6) = (17 ; 20) x2 + 1 = 17 2y + 6= 20 x2 =
16 2y= 14 x = 4 y= 7 2 2 (x + y) = (4 + 7) = 121
Ediciones Corefo
Clave:
d1
Clave:
a1
Matemtica 5 - Primaria
B usca solucionesPg. 17 1.= 93 U = 55 55 - 10 10 45 55 + x = 93
x = 38 x P
5.
L = 36 36 - 13 23 = 23 + 12 + 17 = 53 13
C = 30 30 - 13 17
Clave:
a
6.
= 32 B = 16 C = 25 4 12 13
45 + 38 = 83
Clave:
b
2.
= 18 I=9 3 6 x F
16 + 13 + x = 32 x = 32 - 29 x=3 7. = 60 C = 40
Clave: L = 32
c
3 + 6 + x = 18 x=9
9 + 6 = 15
Clave:
d
40-x
x
32-x
3. Diciembre = 31 dasP = 23 23-x x 19-x C = 19
40 - x + x + 32 - x = 60 72 - 60 = x 12 = x x = 12
Clave: F = 30
a
23 - x + x + 19 = 31 42 - 31 = 11 x = 11SOLUCIONARIO
8.Clave: P = 135 15 135 - 15 120 X c
= 50 M = 30 2 10 8 10 6 C = 35Ediciones Corefo
4.
= 210 C = 40 40 - 15 25 40 + 120 + x = 210 x = 210-160 x =
50
3 9
Clave:
b2
30 + 126 + x = 50 48 + x = 50 x=2
Clave:
d
2
Matemtica 5 - Primaria
Pg. 17 9.= 30 M = 19 2 5 10 2 1 H = 11 10. M = 17 4 3 6 4 6 Q =
18 11. = 17 + 4 + 5 + 6 = 32 = 62 M = 31 a z x 7 c C = 40 De M:a +
x + z + 7= 31 a + x + z= 24 1 F: b + x + y + 7= 39 b + x + y= 32 2
: c + z + y + 7= 40 c + z + y = 333 Sumando: 1 , 2 y 3 a + b + c +
2x + 2y + 2z = 89 I De U: a + b + c + x + y + z + 7 = 62 a + b + c
+ x + y + z = 55 II Reemplazando II en I: x + y + z = 34 Clave: y b
F = 39 5 4 Clave: F = 19 a 3 2 A = 17
12.
(11) Casadas2 5 3 1 1 3
Solteras1 Peluca (12)
Gorditas (9)
x
Flaquitas
9 + 7 + x = 20 x=4
4 son flaquitas, solteras y no usan peluca.Clave: 13. = 162 C a
y x m c P a + b + c = 42 x + m = 60 m + z = 50 y + m = 40 x + y + z
+ 3m = 150 a + b + c + x + y + z + m= 162 42 + x + y + z + m= 162 x
+ y + z + m= 120 x + y + z + m + 2m= 150 120 + 2m= 150 m= 15 14. 60
Mujeres 90 Hombres Est. Ing. 30 25 z b B a
Clave: No Est. Ing. 30 65
c
Ediciones Corefo
b3
65 hombres no estudiaron ingeniera
Clave:
d3
Matemtica 5 - Primaria
SOLUCIONARIO
B usca solucionesPg. 201. p: q: r : g: t : 20 + 1 = 2 s es
proposicin x + 1 < 5 no es proposicin 3 es un nmero primo s es
proposicin Viva el Per! no es proposicin haz tu tarea no es
proposicin Clave: c
8.
p V V F F
q pq V V F F V F F F Clave: a
Hay un valor de verdad verdadero. 9. p V V F F q pq V V F F V V
F V
p y r son proposiciones2. p v q
VVV VVF FVV Clave: 3. pvq FVV verdadera d
Hay tres valores de verdad verdadero. 10. I.(P q) P (V V) V V V
V II. p F III. p F q F F v q V V V
Clave:
c
Clave:
b
4.
5 + 4 = 8 proposicin 13 es un numero primo proposicin buenos
das! No es proposicin Cul es tu nombre? No es proposicin Clave:
a
Clave:
d
5.
Lima es la capital de Per y Barcelona la capital de Espaa. pq
Clave: c I. p v q V V F II. p q V F F P ~Q V V V
11. (p q) v r V 12. p q v v v F F Clave: a
6.
SOLUCIONARIO
III. ~ p q F F F 7. p q p v q VV V VF V FV V FF F
IV.
Clave:
a
I.p q V F F
II. (p q) (V V) V F
Hay un valor de verdad falso.4
Clave:
a4
Clave:
b
Matemtica 5 - Primaria
Ediciones Corefo
III. p v q V V V
Pg. 2013. p q VF F F I.r (q v p) r (F v F) r F F III.p (r t) f
(r t) F 14. p q p (p V V VV V F VF F V FF F F FF V V
19. I.(72) + 1= 49 (F) 72 1= 48 (V) F v V = V II.32 + 22 = 13
(V) V V = V 52 - 25 (V) III.(32 + 42 = 25)(V) V F = F (8 + 2 = 12)
(F) 20. (p q) v r Clave: d V F F F F F V V(p) = F; V(q) = F; V(r) =
V 21. I. II. III. IV. V V V F v F= V V = V V = V V= V
15. (p q ) (p t) F v F F Clave: a
P = V, q = V, p = V, t = F 16. (p q) (r s) (F V) (F F) V V
17. (p q) v (r s) V F F F V F V F F q y r son verdaderos 18. p v
q F V F F I.p q V F F III. p v q VVF II.p (p v q) V (F v F) V F F
Clave: a5
Clave:
b 23. p q [(p q) p q] VV V V V V V VF F F V V F FV V F F V V FF
V F F V F Es una tautologa.
Ediciones Corefo
Matemtica 5 - Primaria
5
SOLUCIONARIO
II.p q F F V q) V F V V Clave: c Clave: a
Clave:
d
Clave:
b
Clave:
b
22. I.(p v q) p v q F F F V V V V II.(p q) v p F v F F III.[r v
(p q)] q F v F F F F IV. (p v r ) q F v F q F q = F
Clave:
b
Pg. 2124. I. (p v q) q VVF F F
Taller de PrcticaPg. 241. D = {n3 1 / n N, 0 < n < 5}
valores de n n = 1; 2; 3; 4 Luego: n3 1 (1)3 1= 0 23 1= 7 33 1= 26
43 1= 63 mayor
II. (p q) v p (V v F) v V V F V V
III. p v q F v V V IV. (p q) (V F) (F) V 25. (p q) (r s) (F V)
(F F) V V V 26. p (q p) V F V F V F (p q) p (F F) V F V= V 27. "x ;
x + 7 > 0 Es verdadera 28. $x /x + 1 = 0 Es
falsaSOLUCIONARIO2
Clave:
c
2.
C = {x2-1/x N 3 < x < 7} Valores de X : x = 4; 5; 6 Luego:
x2 1 42 1 = 15 52 1 = 24 62 1 = 35 Luego C por extensiones: C =
{15; 24; 35} Clave: Clave: a d
Clave:
c
Clave:
a
29. I. F II. V III. F 30. p q (p VV VF FV FF q) V F F F (p v q)
V V V V V V V F
Es tautologia6
Clave:
a6
Clave:
c
Matemtica 5 - Primaria
Ediciones Corefo
3. Clave: Clave: Clave: b 4. b b 5. M = {1; 3; 5; 7; 9} n(P(m))
= 25= 32 Como: n [(P(a)] = 64 = 26 n(A) = 6 n [(P(b)] = 128 = 27
n(B) = 7 Luego: n(A) + n(B) + 2 6 + 7 + 2 15 = = 5 5 5 = 3 I. V 6.
Clave: b
II. V III. F IV. F V. F VI. V Clave: c
Clave:
b
7.
A= {x2+1/x 0 < x 4} Valores de x: x = 1; 2; 3; 4 Luego: x2+1
12 + 1 = 2 22 + 1 = 5 32 + 1 = 10 42 + 1 = 17 Entonces: A= {2; 5;
10; 17} Finalmente la suma de elementos de A es: 2 + 5 + 10 + 17 =
34 Clave: De los conjuntos: a b= 5 a + b= 11 2a= 16 a= 8 En: a-b=5
8-b=5 b=3 Entonces: a x b = 8 x 3 = 24 I. F II. V III. V IV. F
13. 14. 15. A = x+1 x 8 < x 9 2 x=9 9 + 1 = 10 = 5 2 2 A =
{5} a 210 x 4 < x 9 n n = 5; 6; 7 B = {42; 35; 30} A B = {(5;
42); (5; 35); (5; 30)} B=
Clave: Clave:
c d
8.
Clave: 16. D = {3a; 3b; 20 + c; 27} D es unitario -3a = 27 3a =
33 a=3 - 3b = 27 b=9
b
Clave:
b
9.
V. V VI. V Clave: c
10. A = {2} 11.
B = {2;3;4}A B = {2} Clave: a
= {1; 2; 3..;20} A = {4; 8; 12; 16; 20} B = {1; 2; 3; 9; 18}
- 20 + c = 27 c=7 a b c = 3 9 7 = 3 63 = 189
Clave:
a
N = {13}
P = {13}
Ediciones Corefo
M=N=P Clave:7
Clave:
a
a7
Matemtica 5 - Primaria
SOLUCIONARIO
Calculando: Bc = {4; 5; 7; 8; 10; 11; 12; 13; 16; 17; 19; 20} A
= {4; 8; 12; 16; 20} Bc D A = {5; 7; 10; 11; 13; 14; 15; 17; 19}
Clave: c 12. = {a; b; c.; z} A = {a; e; i; o; u;} B = {r; e; s; p;
o; n; a; b; l} Ac = {b; c; f; g; h; j; k; l; m; n; p;q; r; s; t; v;
w; x; y; z} Ac B = {b; l; n; p; r; s}
17. M : x2 = 169 x = 13 N : x = 169 x = 13 P : x3 = 2197 x = 3
219 x = 13
M = {13}
Pg. 2518. A = {1; 2; 3; 4; 5; 6; 7; 8} B = {4; 6; 8; 10; 12; 14}
A B = {1; 2; 3; 5; 7} B A = {10; 12; 14} (A B) (B A ) = {1; 2; 3;
5; 7} n[(A B) (B A)] = 5 19. A = {4; 6; 8; 10; 12} B = {1; 2; 3; 4;
6; 12} C = {0; 2; 4; 6; 8; 10; 12} B C = {2; 4; 6; 12} A (B C) =
{8; 10} n[A (B C)] = 2 20. A = {a; b; c; d} B = {a; c; e; f } C =
{a; b; f; g} B D C = {c; e; b; g} A (B D C) = {b; c} 21. A = {4; 6;
8; 10; 12} B = {1; 2; 4; 11; 22; 44} C = {0; 2; 4; 6; 8; 10; 12} -B
C = {2; 4; 22; 44} -(B C) A = {2; 22; 44} n[(B C) A] = 3 22. n(A) =
5; n(B) = 6; n(A B) = 3 n [P (A B)]= 23 = 8 Clave: c
25. A= {x-1/x 3 < x
