Tuzuvchilar: V. Jo`Rayev

1. A  _1, 3_,
B _2, 4_
10.
A _x x 
,  3  x  4_

2. A _x : 0  x  2_  _0; 2_,
B _x x 
, 3  x  2_

B _x :1 x  3_  _1; 3_
11. To`plamlar dekart ko`paytmasining tasviriga qarab, to`plamlarni yozing.

3. A _x x  , 0  x  7_,
B _x x  ,  3  x  2_

4. 
   A _x
   

B _x
x   7  x  7_
x   3  x  3_

4. 
   To`plamlar dekart ko`paytmasining tasviriga qarab, to`plamlarni yozing.
   

12.

A _4; 5; 6; 7; 8; 9; 10; 11_,
B _5;  4;  3;  2; 1; 0; 1; 2; 3_

13.

A _x x  B _x x 
4  x 10_,
9  x  10_

6. A _x : x_ x  3_  0_,
B _x : _ x  3_x 1_  0_
7. A _x : xR, x²  8x 15  0_,
B _x : x  N, x²  6x  0_
8. A _x : x  Z,  2  x  4_,
B _x : x  N, 1 x  7_
14. To`plamlar dekart ko`paytmasining tasviriga qarab, to`plamlarni yozing.

15.

A _x x 
2_,

9. A _x x  , x  2_,
B _x
x   3  x  12_

B _x x  , x  2_

16.

A _x x 
6_,
18.
A _x 1  x  5,
x  _,

B _x x 
 5_
B _x
 3  x  2,
x  _

17.

A  _1; 2; 3; 4; 5; 6_,
B _2; 1; 0; 1; 2; 3; 4_
19.
A _a,b,c,d,e_ , B _d,e,n,m_

20.

A _2, 4, 6, 8, 10_,
B _4, 8, 12, 16_

1. U  _1, 2, 3, 4, 5, 6, 7, 8_
bo`lsa, quyidagi to`plamni Venn diagrammasida tasvirlang va

A ni toping?
A  _1, 3, 6, 8_ va
B _2, 3, 4, 5, 8_

2. 
   A va B to`plamlarni Venn diagrammasida tasvirlang:
   

U _2, 3, 4, 5, 6, 7_,
A _2, 4, 6_,
B _5, 7_

2. 
   Quyida berilgan to`plamlarni Venn diagrammasida bo`yab tasvirlang:
   

1) A ; 2) B ; 3) C ; 4) B^ ;
5) A^ ; 6) C^ 7) A B ; 8) A B ;
9) B C ; 10) B C ; 11) A C ;
12) A C ; 13) A B C ;
^{14) A B C ; 15)}  ^{A B C} ^{ ;}

¹⁶⁾  ^{A B}
¹⁸⁾  ^{A B}^
_U ²⁰⁾  ^{A C} 
^{C ; 17)} ^{B C}  ^{A; C ; 19)} ^{B C} ^{ A;} B .

2. 
   U _x 1  x 10, x  _, A  {10 dan kichik bo`lgan toq sonlar} va B  {10 dan
   

kichik bo`lgan tub sonlar} bo`lsa, quyidagi to`plamlarni Venn diagrammasida tasvirlang:

1) A B ; 2) A^
B ; 3) A^
B ; 4) A B ; 5) A B^;

^{6) A B; 7)}  ^{A B}^{; 8)}  ^{A B}^{; 9) A}

2. 
   A va B to`plamlarni Venn diagrammasida tasvirlang:
   

B _3, 5_.
B^; 10) A^
U _3, 4, 5, 7_,
B^.
A _3, 4, 5, 7_,

2. 
   A va B to`plamlar Venn diagrammasida tasvirlangan. Quyidagi to`plamlarning elementlarini yozing:
   

1) A ; 2) B ; 3) A^ ; 4) B^ ; 5) A B ; 6) A B ; 7) A^ B ; 8) A^ B ;

9) _ A B_^; 10) _ A B_^; 11) A^
B^; 12) A^
B^; 13) A B^; 14) A B^;

7. U  _1, 2, 3, 4, 5, 6, 7, 8_
bo`lsa, quyidagi to`plamni Venn diagrammasida tasvirlang va

 ^{A ni toping?}
A  _1, 3, 6, 7, 8_ va
B _3, 6, 8_

8. 
   A va B to`plamlarni Venn diagrammasida tasvirlang:
   

U  _1, 2, 3, 4, 5, 6, 7_,
A _2, 4, 5, 6_ ,
B  _1, 4, 6, 7_ .

8. 
   Quyida berilgan to`plamlarni Venn diagrammasida bo`yab tasvirlang:
   

1. 
   A B ; 2) A B ;
   

3) A B^; 4) A^ B ;
5) A^ B ; 6) A B^;
⁷⁾  ^{A B}^{; 8)}  ^A

U

8. 
   A
   

va B to`plamlarni Venn diagrammasida tasvirlang:

U _2, 3, 4, 5, 6, 7_,

A _2, 4, 6_, B _3, 5, 7_.

8. 
   U _x 1  x 10, x  _, A  {10 dan kichik bo`lgan toq sonlar} va B  {10 dan kichik
   

bo`lgan tub sonlar} bo`lsa, A va B to`plamlarning elementlarini yozing va Venn diagrammasida tasvirlang?

8. 
   A , B va C to`plamlar Venn diagrammasida tasvirlangan. Quyidagi to`plamlarning elementlarini yozing:
   

1) A ; 2) B ; 3) C ; 4) A B ; 5) A B ; 6) B C ; 7) B C ;

8) A
9) A C ; 10) A B C ; 11) A B C ; 12)
n_ A B C _ ;

13) n_ A_  n_B_  n_C _  n_ A B_  n_ A C _  n_B C _  n_ A B C _

U

1. _x x  N,  5  x  5_
to`plamni nechta usul bilan ikkita kesishmaydigan qism

to`plamlarga ajratish mumkin?

2. M _36, 29, 15, 68, 27_,
P _4, 15, 27, 47, 36, 90_,
Q _90, 4, 47_
to`plamlar berilgan.

M P , M Q , P Q , M larni toping.

3. A _2, 3, 4, 5, 7, 10_,
B _3, 5, 7, 9_ ,
C _4, 9, 11_
bo`lsin. Quyidagi to`plamlarda

nechtadan element mavjud:

1. 
   A b) A
   

c) A d) C

4. 
   _x x  N, x²  23_ to`plamning nechta qism to`plamlari mavjud?
   

4. 
   A _x
   

 5  x  10_,
B _x x  N, 3  x  15_
bo`lsa,
A \ B va
B \ A to`plam

elementlarini toping.

4. 
   _x x  N, 6  x²  40_ to`plamning nechta qism to`plamlari mavjud?
   
5. 
   A - 18 ning hamma natural bo`luvchilari to`plami, B - 24 ning hamma natural
   

bo`luvchilari to`plami bo`lsa, A to`plam elementlarini ko`rsating.

4. 
   _x x  N, 2  x²  44_ to`plamning nechta qism to`plamlari mavjud?
   
5. 
   P _a, b, c, d, e, f _, E _a, g, z, e, k_ to`plamlar birlashmasini toping.
   
6. 
   _x x  N,  2  x  5_ to`plamning nechta qism to`plamlari mavjud?
   
7. 
   _x x  N, x²  17_ to`plamning nechta qism to`plamlari mavjud?
   

TAKRORLASH UCHUN TEST

1. 
   A to`plam
   

x² 11x 18  0
tengsiz-
6. A _2; 3; 4; 5; 7; 10_,
B _3; 5; 7; 9_ ,

likning yechimlari to`plami, B to`plam ^esa x² 15x  50  0 ^{tengsizlikning} yechimlari to`plami bo`lsa, A to`plamni toping.
A) [2; 10] B) <sub></sub>5;10<sub></sub>
C <sub></sub>4; 9; 11<sub></sub> bo`lsin. A to`plamning nechta elementi mavjud. A) 4 B) 8 C) 16 D) 9

7. 
   _x x  N,  2  x  5_ to`plamning nech-
   

C) _2;9_ D) _5;9_
ta qism to`plamlari mavjud?
A) 30 B) 8 C) 16 D) 32

<sup>2. A to`plam</sup> <sub></sub>x<sup>2</sup>  9x  20<sub></sub>x<sup>2</sup>  5x  6<sub></sub>  0
tenglamaning ildizlari to`plami, B

7. 
   A to`plam y 
   

funksiya-

to`plam esa 1 x 12
tengsizlikni
ning aniqlanish sohasi, B to`plam esa

qanoatlantiruvchi tub sonlar to`plami ^{y }
funksiyaning aniqlanish

bo`lsin. A
A) <sub></sub>2,3,7,11<sub></sub>
to`plamni toping?
B) _2,3,5_
sohasi bo`lsin. A

1. 
    B)
   

to`plamni toping.
x  4, x  6

C) _2,3_
D) 
C) 2  x  2
D) 2  x  6

3. A to`plam 28 sonining barcha natural bo`luvchilari to`plami, B to`plam esa
42 sonining barcha natural bo`luvchilari
9. A - barcha tub sonlar to`plami, B - barcha juft sonlar to`plami bo`lsa, A to`plamni toping.

to`plami bo`lsa, A
to`plamni
^{A)  B)} ²

toping.
A) _2, 7, 14_

B) _4, 6, 7_

C) _2, 3, 5, 6, 7, ..._ D) _4, 12, 30, ..._

C) _1, 2, 7, 14_
4. A _2, 4, 6, ..._,
D) _7, 14_
B  _1, 3, 5, ..._
bo`lsa,
10.
<sup>A </sup><sup>a, b, c</sup><sup>to`plamning xosmas qism</sup> to`plamlari soni nechta?
A) 2 ta B) 6 ta C) 8 ta D) 4 ta

A to`plamni toping.
A) _2, 12, 30, ..._ B) _3, 7, 11, ..._

11.
A _x 0  x  5_, B _x 2  x  8_

C)  D) N  _1, 2, 3, ..._
bo`lsa, A ni toping.
A) _2; 13_ B) _5; 8_

5. 
   26 o`quvchining 14 tasi shaxmatga, 16 tasi shashkaga qiziqadi. Ham shashka- ga, ham shaxmatga qiziqadigan o`quv- chilar nechta?
   
   1. 
      5 ta B) 4 ta C) 6 ta D) 7 ta
      

C) _0; 8_ D) _2; 5_
12. _x x  N, x²  17_ to`plamning nechta qism to`plamlari mavjud?
A) 12 B) 16 C) 8 D) 32

13.
A _x 2  x  7_,
B _x 3  x  9_

17. 
    1 x  50 kesmadagi 3 ga; 4 ga; 7 ga
    

bo`lsa, A ni toping.
A) <sub></sub>2; 9<sub></sub> B) <sub></sub>7; 9<sub></sub>
bo`linadigan barcha natural sonlar to`plami mos ravishda A , B , C bo`lsin.

C) _2; 3_
D) _3; 7_
A
toping.
to`lam elementlari sonini

14.
A _p  tub son 2  x  32_,

B _p  tub son 7  x  28_ bo`lsa, B to`plamning A to`plamgacha to`ldiruv- chisini – A ning B ga tegishli bo`lma- gan barcha elementlaridan tuzilgan to`plamni toping.
A) _2, 3, 5, 29, 31_ B) _29, 31_
C) _p  tup son 9  x  30_ D) 
A) 23 B) 19 C) 28 D) 35

17. 
    10-sinf o`quvchilarining hammasi 3 ta to`garakka qatnashadi. Matematika to`garagiga 18 ta, fizika to`garagiga 15 ta, adabiyot to`garagiga 14 ta o`quvchi qatnashadi. Ham matematika, ham fizika to`garaklariga 6 ta o`quvchi, ham matematika ham adabiyot to`garagiga 4 ta o`uvchi, ham fizika ham adabiyot to`garagiga esa 5 ta o`quvchi qatnashadi.
    

15. 1 x 100
kesmadagi 10 ga bo`linadi-
1 ta o`quvchi uchala to`garakka ham

gan barcha natural sonlar to`plami A bo`lsa, shu kemadagi 25 ga bo`linadi- gan barcha natural sonlar to`plami B
qatnashadi. 10-sinfda necha nafar o`quvchi bor?
A) 36 B) 40 C) 38 D) 33

soni nechta?					19.	^A^^a^,^b^,^c^to`plamning	barcha	qism
A) 14 B) 12		C) 4	D) 18			to`plamlari soni nechta?
16.	A x x  2k 1, k  Z to`plamning to`plamga to`ldiruvchisini toping? A) A x x  2k 1, k  Z A x x  k, k  Z A x x  2k, k  Z A x x  k 1, k  Z			Z	20.	A) 8 B) 27 C) 9 D) 6 ^A^^a^,^b^,^c^,^d ^to`plamning^barchaqism to`plamlari soni nechta? A) 64 B) 16 C) 81 D) 8

bo`lsa, A to`plamning elementlari

TAKRORLASH UCHUN TEST JAVOBLARI

1	2	3	4	5	6	7	8	9	10
A	B	C	D	B	A	D	A	B	A
11	12	13	14	15	16	17	18	19	20
C	B	D	A	B	C	C	D	A	B

QO`SHIMCHA MA’LUMOTLAR UCHUN
QO`SHIMCHA MA’LUMOTLAR UCHUN