Ўзбекистон республикаси халқ

Qo‘shimcha misollar.

1. 
   A-rost, B- yolg‘on, D- rost bo‘lsa quyidagi mantiqiy ifodalarning qiymatni aniqlang.
   

A) A  V  D B) A  V  D C)  (AV) D) (A  V)  (D A)
E)  (A  B)   D F)  ( A   D) A  B G)  (B  D) A   B
H)  (( B  A)  A ) B I)  (( A   D) (A  B))

2. 
   Keltirilgan mulohazalar asosida tuzilgan mantiqiy amallarni so‘zlar orqali yozing:
   

A-“Eshik ochiq”, V-“Deraza yopiq”.
A) A  V B) A V C) A   V D) A  B E)  A  V F)  A  V

3. 
   Mantiqiy ifodalarning qiymatni toping.
   

A) 5<8  3+6=9  4=3 B)  (7-5>3)   (1<100)
C)  ( (54+8=62)   (22=4)) D) 33>100  45-5<60  121=333
E)  ( (66>300  43<500)  (85=56+29)) F) 2>0  3<1  8>4  3>1
G) ((1+3)^1/2=2) ((5-1)^1/2>2) (3³+1)<250 H) ((729^1/3 –1)^1/3)>2((1111)>(1012))
I) –1 (-5) > (-2)  (-2)  (-2)  (3-(-4))+5=-7

4. 
   Mantiqiy ifodalarning qiymatni toping.
   

A) (x²+1)>1  (x³+1)>1   (x⁴ 0) B)  (x²+a²)>1 ( x⁴+1)>1  (x³ 0)
D) (a²+b²)2ab  (a²-b²) 2ab E) (a⁴-b⁴)2a²b²  (a²-b²)=(a-b)  (a+b)
F) (a²+b²)= (a-b)  (a+b)  (x⁵6)
G) (100 daq. = 1 soat)  (100 sekund = 1 daq. 40 sekund)  (100 metr = 0, 01 kilometr)

5. 
   Quyidagi mantiqiy ifodalar sonli o‘zgaruvchi a ning ihtiyoriy qiymatida qanday qiymatga erishadi?
   

A) a²<0 B) a<0  a>0 D) a<0  a=0  a>0 E) a=a F) a+a  2a G) a<0  a>5?

6. 
   Quyidagi mulohazalar berilgan:
   

A = “ YOmg‘ir yog‘ayapti.”
B = “ Sayil qoldiriladi.”
D = “ Men uyda qolaman.”
E = “ Men shalabbo bo‘laman”
A) Bu mulohazalardan foydalanib, quyidagi murakkab mulohazalarni algebraik ifodalang:
G = “ YOmg‘ir yog‘ayapti, sayil qoldiriladi yoki qoldirilmaydi, men uyda qolaman.”
H = “ Agar yomg‘ir yog‘sa, lekin sayil qoldirilmasa yoki men uyda qolmasam, u holda men shalabbo bo‘laman.”
B) Quyidagi algebraik ifodani mulohazalar ko‘rinishiga o‘tkazing :
K = ( A  E)   D ;
L =  D   A  B.
7. Ulanish qonuni yordamida quyidagilarni soddalashtiring:
A ) A  B  C  A  B  C
B) A  B  C  A  B  C
C ) A  B  C  A  B  C
D ) (A  B  C)  (A  B  C)
E ) (A  B  C)  (A  B  C)
8. Yutilish qonuni yordamida quyidagilarni soddalashtiring:
A) A  A  B  A  B  C  A  D  F
B) A  B  A  B  C  A  B  D
D) A  (A  B)  (A  C)
E) A  B (A  C  A  B)
9. Quyidagi ifodalar uchun rostlik jadvalini tuzing va soddalashtiring.

1. 
   A  C  C  (B  C )  (A  B)  C
   
2. 
   A  (B  C)  A  B
   
3. 
   ( A  C )  A  C  (B  C )  B  C
   
4. 
   A  C  C  (A  B )  C  (B  C)
   
5. 
   A  B  C  A  B  C  A  B  C  D
   
6. 
   A  B  B  C  D  B  C  D  B  C  D
   
7. 
   A  D  A  B  C  A  B  C  A  B  C
   
8. 
   A  B  C  B  (A  B  C  A  B  C)  A  B
   
9. 
   A  B  C  A  B  C  A  B  C  D  A  B  C  D  A  B  C  D
   
10. 
    A  D  (A C  B  D)  A  C  A  B  C
    

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